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Finding the Fourth Proportional to 920.60, 1,379.86 and 457.80

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Solution

The fourth proportional to 920.60, 1,379.86 and 457.80 is: 686.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.60 : 1,379.86 = 457.80 : x
  2. Step 2: Convert to fraction form
    920.60/1,379.86 = 457.80/x
  3. Step 3: Cross multiply
    920.60x = 1,379.86 × 457.80
  4. Step 4: Simplify right side
    920.60x = 631,699.91
  5. Step 5: Solve for x
    x = 631,699.91/920.60
  6. Step 6: Final answer
    x = 686.18

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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.