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Finding the Fourth Proportional to 1,325.38, 1,829.10 and 735.90

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Solution

The fourth proportional to 1,325.38, 1,829.10 and 735.90 is: 1,015.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.38 : 1,829.10 = 735.90 : x
  2. Step 2: Convert to fraction form
    1,325.38/1,829.10 = 735.90/x
  3. Step 3: Cross multiply
    1,325.38x = 1,829.10 × 735.90
  4. Step 4: Simplify right side
    1,325.38x = 1,346,036.74
  5. Step 5: Solve for x
    x = 1,346,036.74/1,325.38
  6. Step 6: Final answer
    x = 1,015.59

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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.