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Finding the Fourth Proportional to 617.76, 922.10 and 545.67

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Solution

The fourth proportional to 617.76, 922.10 and 545.67 is: 814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.76 : 922.10 = 545.67 : x
  2. Step 2: Convert to fraction form
    617.76/922.10 = 545.67/x
  3. Step 3: Cross multiply
    617.76x = 922.10 × 545.67
  4. Step 4: Simplify right side
    617.76x = 503,159.58
  5. Step 5: Solve for x
    x = 503,159.58/617.76
  6. Step 6: Final answer
    x = 814.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.