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Finding the Fourth Proportional to 1,004.80, 1,503.12 and 869.36

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Solution

The fourth proportional to 1,004.80, 1,503.12 and 869.36 is: 1,300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.80 : 1,503.12 = 869.36 : x
  2. Step 2: Convert to fraction form
    1,004.80/1,503.12 = 869.36/x
  3. Step 3: Cross multiply
    1,004.80x = 1,503.12 × 869.36
  4. Step 4: Simplify right side
    1,004.80x = 1,306,752.40
  5. Step 5: Solve for x
    x = 1,306,752.40/1,004.80
  6. Step 6: Final answer
    x = 1,300.51

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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.