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Finding the Fourth Proportional to 1,407.71, 2,111.87 and 714.76

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Solution

The fourth proportional to 1,407.71, 2,111.87 and 714.76 is: 1,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.71 : 2,111.87 = 714.76 : x
  2. Step 2: Convert to fraction form
    1,407.71/2,111.87 = 714.76/x
  3. Step 3: Cross multiply
    1,407.71x = 2,111.87 × 714.76
  4. Step 4: Simplify right side
    1,407.71x = 1,509,476.71
  5. Step 5: Solve for x
    x = 1,509,476.71/1,407.71
  6. Step 6: Final answer
    x = 1,072.29

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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.