Home / 1,023.24-1,534.40-373.52

Finding the Fourth Proportional to 1,023.24, 1,534.40 and 373.52

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Solution

The fourth proportional to 1,023.24, 1,534.40 and 373.52 is: 560.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.24 : 1,534.40 = 373.52 : x
  2. Step 2: Convert to fraction form
    1,023.24/1,534.40 = 373.52/x
  3. Step 3: Cross multiply
    1,023.24x = 1,534.40 × 373.52
  4. Step 4: Simplify right side
    1,023.24x = 573,129.09
  5. Step 5: Solve for x
    x = 573,129.09/1,023.24
  6. Step 6: Final answer
    x = 560.11

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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.