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Finding the Fourth Proportional to 602.85, 902.55 and 545.19

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Solution

The fourth proportional to 602.85, 902.55 and 545.19 is: 816.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.85 : 902.55 = 545.19 : x
  2. Step 2: Convert to fraction form
    602.85/902.55 = 545.19/x
  3. Step 3: Cross multiply
    602.85x = 902.55 × 545.19
  4. Step 4: Simplify right side
    602.85x = 492,061.23
  5. Step 5: Solve for x
    x = 492,061.23/602.85
  6. Step 6: Final answer
    x = 816.22

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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.