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Finding the Fourth Proportional to 736.48, 1,014.72 and 503.20

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Solution

The fourth proportional to 736.48, 1,014.72 and 503.20 is: 693.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.48 : 1,014.72 = 503.20 : x
  2. Step 2: Convert to fraction form
    736.48/1,014.72 = 503.20/x
  3. Step 3: Cross multiply
    736.48x = 1,014.72 × 503.20
  4. Step 4: Simplify right side
    736.48x = 510,607.10
  5. Step 5: Solve for x
    x = 510,607.10/736.48
  6. Step 6: Final answer
    x = 693.31

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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.