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Finding the Fourth Proportional to 1,437.80, 2,156.70 and 707.90

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Solution

The fourth proportional to 1,437.80, 2,156.70 and 707.90 is: 1,061.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.80 : 2,156.70 = 707.90 : x
  2. Step 2: Convert to fraction form
    1,437.80/2,156.70 = 707.90/x
  3. Step 3: Cross multiply
    1,437.80x = 2,156.70 × 707.90
  4. Step 4: Simplify right side
    1,437.80x = 1,526,717.15
  5. Step 5: Solve for x
    x = 1,526,717.15/1,437.80
  6. Step 6: Final answer
    x = 1,061.85

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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.