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Finding the Fourth Proportional to 743.48, 1,025.35 and 522.35

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Solution

The fourth proportional to 743.48, 1,025.35 and 522.35 is: 720.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.48 : 1,025.35 = 522.35 : x
  2. Step 2: Convert to fraction form
    743.48/1,025.35 = 522.35/x
  3. Step 3: Cross multiply
    743.48x = 1,025.35 × 522.35
  4. Step 4: Simplify right side
    743.48x = 535,591.57
  5. Step 5: Solve for x
    x = 535,591.57/743.48
  6. Step 6: Final answer
    x = 720.38

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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.