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Finding the Fourth Proportional to 870.52, 1,300.04 and 823.14

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Solution

The fourth proportional to 870.52, 1,300.04 and 823.14 is: 1,229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.52 : 1,300.04 = 823.14 : x
  2. Step 2: Convert to fraction form
    870.52/1,300.04 = 823.14/x
  3. Step 3: Cross multiply
    870.52x = 1,300.04 × 823.14
  4. Step 4: Simplify right side
    870.52x = 1,070,114.93
  5. Step 5: Solve for x
    x = 1,070,114.93/870.52
  6. Step 6: Final answer
    x = 1,229.28

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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.