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Finding the Fourth Proportional to 924.85, 1,386.89 and 462.07

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Solution

The fourth proportional to 924.85, 1,386.89 and 462.07 is: 692.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.85 : 1,386.89 = 462.07 : x
  2. Step 2: Convert to fraction form
    924.85/1,386.89 = 462.07/x
  3. Step 3: Cross multiply
    924.85x = 1,386.89 × 462.07
  4. Step 4: Simplify right side
    924.85x = 640,842.57
  5. Step 5: Solve for x
    x = 640,842.57/924.85
  6. Step 6: Final answer
    x = 692.92

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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.