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Finding the Fourth Proportional to 1,009.16, 1,512.30 and 575.42

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Solution

The fourth proportional to 1,009.16, 1,512.30 and 575.42 is: 862.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.16 : 1,512.30 = 575.42 : x
  2. Step 2: Convert to fraction form
    1,009.16/1,512.30 = 575.42/x
  3. Step 3: Cross multiply
    1,009.16x = 1,512.30 × 575.42
  4. Step 4: Simplify right side
    1,009.16x = 870,207.67
  5. Step 5: Solve for x
    x = 870,207.67/1,009.16
  6. Step 6: Final answer
    x = 862.31

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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.