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Finding the Fourth Proportional to 738.52, 1,019.60 and 656.52

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Solution

The fourth proportional to 738.52, 1,019.60 and 656.52 is: 906.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.52 : 1,019.60 = 656.52 : x
  2. Step 2: Convert to fraction form
    738.52/1,019.60 = 656.52/x
  3. Step 3: Cross multiply
    738.52x = 1,019.60 × 656.52
  4. Step 4: Simplify right side
    738.52x = 669,387.79
  5. Step 5: Solve for x
    x = 669,387.79/738.52
  6. Step 6: Final answer
    x = 906.39

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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.