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Finding the Fourth Proportional to 1,247.47, 1,721.43 and 750.16

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Solution

The fourth proportional to 1,247.47, 1,721.43 and 750.16 is: 1,035.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.47 : 1,721.43 = 750.16 : x
  2. Step 2: Convert to fraction form
    1,247.47/1,721.43 = 750.16/x
  3. Step 3: Cross multiply
    1,247.47x = 1,721.43 × 750.16
  4. Step 4: Simplify right side
    1,247.47x = 1,291,347.93
  5. Step 5: Solve for x
    x = 1,291,347.93/1,247.47
  6. Step 6: Final answer
    x = 1,035.17

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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.