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Finding the Fourth Proportional to 924.60, 1,387.62 and 377.10

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Solution

The fourth proportional to 924.60, 1,387.62 and 377.10 is: 565.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.60 : 1,387.62 = 377.10 : x
  2. Step 2: Convert to fraction form
    924.60/1,387.62 = 377.10/x
  3. Step 3: Cross multiply
    924.60x = 1,387.62 × 377.10
  4. Step 4: Simplify right side
    924.60x = 523,271.50
  5. Step 5: Solve for x
    x = 523,271.50/924.60
  6. Step 6: Final answer
    x = 565.94

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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.