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Finding the Fourth Proportional to 1,545.02, 2,318.13 and 678.72

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Solution

The fourth proportional to 1,545.02, 2,318.13 and 678.72 is: 1,018.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.02 : 2,318.13 = 678.72 : x
  2. Step 2: Convert to fraction form
    1,545.02/2,318.13 = 678.72/x
  3. Step 3: Cross multiply
    1,545.02x = 2,318.13 × 678.72
  4. Step 4: Simplify right side
    1,545.02x = 1,573,361.19
  5. Step 5: Solve for x
    x = 1,573,361.19/1,545.02
  6. Step 6: Final answer
    x = 1,018.34

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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.