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Finding the Fourth Proportional to 1,007.52, 1,503.12 and 952.80

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Solution

The fourth proportional to 1,007.52, 1,503.12 and 952.80 is: 1,421.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.52 : 1,503.12 = 952.80 : x
  2. Step 2: Convert to fraction form
    1,007.52/1,503.12 = 952.80/x
  3. Step 3: Cross multiply
    1,007.52x = 1,503.12 × 952.80
  4. Step 4: Simplify right side
    1,007.52x = 1,432,172.74
  5. Step 5: Solve for x
    x = 1,432,172.74/1,007.52
  6. Step 6: Final answer
    x = 1,421.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.