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Finding the Fourth Proportional to 1,009.20, 1,513.74 and 432.02

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Solution

The fourth proportional to 1,009.20, 1,513.74 and 432.02 is: 648.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.20 : 1,513.74 = 432.02 : x
  2. Step 2: Convert to fraction form
    1,009.20/1,513.74 = 432.02/x
  3. Step 3: Cross multiply
    1,009.20x = 1,513.74 × 432.02
  4. Step 4: Simplify right side
    1,009.20x = 653,965.95
  5. Step 5: Solve for x
    x = 653,965.95/1,009.20
  6. Step 6: Final answer
    x = 648.00

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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.