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Finding the Fourth Proportional to 1,126.32, 1,689.56 and 714.89

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Solution

The fourth proportional to 1,126.32, 1,689.56 and 714.89 is: 1,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.32 : 1,689.56 = 714.89 : x
  2. Step 2: Convert to fraction form
    1,126.32/1,689.56 = 714.89/x
  3. Step 3: Cross multiply
    1,126.32x = 1,689.56 × 714.89
  4. Step 4: Simplify right side
    1,126.32x = 1,207,852.88
  5. Step 5: Solve for x
    x = 1,207,852.88/1,126.32
  6. Step 6: Final answer
    x = 1,072.39

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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.