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Finding the Fourth Proportional to 1,023.24, 1,534.95 and 373.82

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Solution

The fourth proportional to 1,023.24, 1,534.95 and 373.82 is: 560.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.24 : 1,534.95 = 373.82 : x
  2. Step 2: Convert to fraction form
    1,023.24/1,534.95 = 373.82/x
  3. Step 3: Cross multiply
    1,023.24x = 1,534.95 × 373.82
  4. Step 4: Simplify right side
    1,023.24x = 573,795.01
  5. Step 5: Solve for x
    x = 573,795.01/1,023.24
  6. Step 6: Final answer
    x = 560.76

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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.