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Finding the Fourth Proportional to 1,545.53, 2,315.75 and 655.34

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Solution

The fourth proportional to 1,545.53, 2,315.75 and 655.34 is: 981.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.53 : 2,315.75 = 655.34 : x
  2. Step 2: Convert to fraction form
    1,545.53/2,315.75 = 655.34/x
  3. Step 3: Cross multiply
    1,545.53x = 2,315.75 × 655.34
  4. Step 4: Simplify right side
    1,545.53x = 1,517,616.60
  5. Step 5: Solve for x
    x = 1,517,616.60/1,545.53
  6. Step 6: Final answer
    x = 981.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.