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Finding the Fourth Proportional to 1,545.50, 2,318.54 and 505.22

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Solution

The fourth proportional to 1,545.50, 2,318.54 and 505.22 is: 757.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.50 : 2,318.54 = 505.22 : x
  2. Step 2: Convert to fraction form
    1,545.50/2,318.54 = 505.22/x
  3. Step 3: Cross multiply
    1,545.50x = 2,318.54 × 505.22
  4. Step 4: Simplify right side
    1,545.50x = 1,171,360.55
  5. Step 5: Solve for x
    x = 1,171,360.55/1,545.50
  6. Step 6: Final answer
    x = 757.92

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1.5x scale

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.