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Finding the Fourth Proportional to 1,023.64, 1,412.30 and 630.52

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Solution

The fourth proportional to 1,023.64, 1,412.30 and 630.52 is: 869.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.64 : 1,412.30 = 630.52 : x
  2. Step 2: Convert to fraction form
    1,023.64/1,412.30 = 630.52/x
  3. Step 3: Cross multiply
    1,023.64x = 1,412.30 × 630.52
  4. Step 4: Simplify right side
    1,023.64x = 890,483.40
  5. Step 5: Solve for x
    x = 890,483.40/1,023.64
  6. Step 6: Final answer
    x = 869.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.