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Finding the Fourth Proportional to 1,355.46, 1,870.53 and 757.92

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Solution

The fourth proportional to 1,355.46, 1,870.53 and 757.92 is: 1,045.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.46 : 1,870.53 = 757.92 : x
  2. Step 2: Convert to fraction form
    1,355.46/1,870.53 = 757.92/x
  3. Step 3: Cross multiply
    1,355.46x = 1,870.53 × 757.92
  4. Step 4: Simplify right side
    1,355.46x = 1,417,712.10
  5. Step 5: Solve for x
    x = 1,417,712.10/1,355.46
  6. Step 6: Final answer
    x = 1,045.93

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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.