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Finding the Fourth Proportional to 1,358.25, 1,874.39 and 737.25

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Solution

The fourth proportional to 1,358.25, 1,874.39 and 737.25 is: 1,017.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.25 : 1,874.39 = 737.25 : x
  2. Step 2: Convert to fraction form
    1,358.25/1,874.39 = 737.25/x
  3. Step 3: Cross multiply
    1,358.25x = 1,874.39 × 737.25
  4. Step 4: Simplify right side
    1,358.25x = 1,381,890.34
  5. Step 5: Solve for x
    x = 1,381,890.34/1,358.25
  6. Step 6: Final answer
    x = 1,017.41

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.