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Finding the Fourth Proportional to 1,156.69, 1,597.17 and 714.88

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Solution

The fourth proportional to 1,156.69, 1,597.17 and 714.88 is: 987.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.69 : 1,597.17 = 714.88 : x
  2. Step 2: Convert to fraction form
    1,156.69/1,597.17 = 714.88/x
  3. Step 3: Cross multiply
    1,156.69x = 1,597.17 × 714.88
  4. Step 4: Simplify right side
    1,156.69x = 1,141,784.89
  5. Step 5: Solve for x
    x = 1,141,784.89/1,156.69
  6. Step 6: Final answer
    x = 987.11

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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.