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Finding the Fourth Proportional to 1,642.96, 2,464.76 and 532.43

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Solution

The fourth proportional to 1,642.96, 2,464.76 and 532.43 is: 798.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.96 : 2,464.76 = 532.43 : x
  2. Step 2: Convert to fraction form
    1,642.96/2,464.76 = 532.43/x
  3. Step 3: Cross multiply
    1,642.96x = 2,464.76 × 532.43
  4. Step 4: Simplify right side
    1,642.96x = 1,312,312.17
  5. Step 5: Solve for x
    x = 1,312,312.17/1,642.96
  6. Step 6: Final answer
    x = 798.75

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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.