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Finding the Fourth Proportional to 924.90, 1,386.32 and 463.06

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Solution

The fourth proportional to 924.90, 1,386.32 and 463.06 is: 694.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.90 : 1,386.32 = 463.06 : x
  2. Step 2: Convert to fraction form
    924.90/1,386.32 = 463.06/x
  3. Step 3: Cross multiply
    924.90x = 1,386.32 × 463.06
  4. Step 4: Simplify right side
    924.90x = 641,948.76
  5. Step 5: Solve for x
    x = 641,948.76/924.90
  6. Step 6: Final answer
    x = 694.08

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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.