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Finding the Fourth Proportional to 738.61, 1,019.87 and 503.05

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Solution

The fourth proportional to 738.61, 1,019.87 and 503.05 is: 694.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.61 : 1,019.87 = 503.05 : x
  2. Step 2: Convert to fraction form
    738.61/1,019.87 = 503.05/x
  3. Step 3: Cross multiply
    738.61x = 1,019.87 × 503.05
  4. Step 4: Simplify right side
    738.61x = 513,045.60
  5. Step 5: Solve for x
    x = 513,045.60/738.61
  6. Step 6: Final answer
    x = 694.61

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