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Finding the Fourth Proportional to 920.55, 1,270.34 and 500.91

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Solution

The fourth proportional to 920.55, 1,270.34 and 500.91 is: 691.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.55 : 1,270.34 = 500.91 : x
  2. Step 2: Convert to fraction form
    920.55/1,270.34 = 500.91/x
  3. Step 3: Cross multiply
    920.55x = 1,270.34 × 500.91
  4. Step 4: Simplify right side
    920.55x = 636,323.50
  5. Step 5: Solve for x
    x = 636,323.50/920.55
  6. Step 6: Final answer
    x = 691.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.