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Finding the Fourth Proportional to 738.86, 1,019.10 and 476.96

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Solution

The fourth proportional to 738.86, 1,019.10 and 476.96 is: 657.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.86 : 1,019.10 = 476.96 : x
  2. Step 2: Convert to fraction form
    738.86/1,019.10 = 476.96/x
  3. Step 3: Cross multiply
    738.86x = 1,019.10 × 476.96
  4. Step 4: Simplify right side
    738.86x = 486,069.94
  5. Step 5: Solve for x
    x = 486,069.94/738.86
  6. Step 6: Final answer
    x = 657.86

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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.