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Finding the Fourth Proportional to 1,023.60, 1,524.65 and 1,011

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Solution

The fourth proportional to 1,023.60, 1,524.65 and 1,011 is: 1,505.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.60 : 1,524.65 = 1,011 : x
  2. Step 2: Convert to fraction form
    1,023.60/1,524.65 = 1,011/x
  3. Step 3: Cross multiply
    1,023.60x = 1,524.65 × 1,011
  4. Step 4: Simplify right side
    1,023.60x = 1,541,421.15
  5. Step 5: Solve for x
    x = 1,541,421.15/1,023.60
  6. Step 6: Final answer
    x = 1,505.88

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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.