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Finding the Fourth Proportional to 1,262.97, 1,895.34 and 707.10

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Solution

The fourth proportional to 1,262.97, 1,895.34 and 707.10 is: 1,061.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.97 : 1,895.34 = 707.10 : x
  2. Step 2: Convert to fraction form
    1,262.97/1,895.34 = 707.10/x
  3. Step 3: Cross multiply
    1,262.97x = 1,895.34 × 707.10
  4. Step 4: Simplify right side
    1,262.97x = 1,340,194.91
  5. Step 5: Solve for x
    x = 1,340,194.91/1,262.97
  6. Step 6: Final answer
    x = 1,061.15

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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.