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Finding the Fourth Proportional to 1,002.64, 1,504.08 and 489.52

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Solution

The fourth proportional to 1,002.64, 1,504.08 and 489.52 is: 734.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.64 : 1,504.08 = 489.52 : x
  2. Step 2: Convert to fraction form
    1,002.64/1,504.08 = 489.52/x
  3. Step 3: Cross multiply
    1,002.64x = 1,504.08 × 489.52
  4. Step 4: Simplify right side
    1,002.64x = 736,277.24
  5. Step 5: Solve for x
    x = 736,277.24/1,002.64
  6. Step 6: Final answer
    x = 734.34

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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.