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Finding the Fourth Proportional to 1,127.17, 1,689.36 and 715.38

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Solution

The fourth proportional to 1,127.17, 1,689.36 and 715.38 is: 1,072.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.17 : 1,689.36 = 715.38 : x
  2. Step 2: Convert to fraction form
    1,127.17/1,689.36 = 715.38/x
  3. Step 3: Cross multiply
    1,127.17x = 1,689.36 × 715.38
  4. Step 4: Simplify right side
    1,127.17x = 1,208,534.84
  5. Step 5: Solve for x
    x = 1,208,534.84/1,127.17
  6. Step 6: Final answer
    x = 1,072.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.