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Finding the Fourth Proportional to 1,023.58, 1,534.02 and 373.69

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Solution

The fourth proportional to 1,023.58, 1,534.02 and 373.69 is: 560.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.58 : 1,534.02 = 373.69 : x
  2. Step 2: Convert to fraction form
    1,023.58/1,534.02 = 373.69/x
  3. Step 3: Cross multiply
    1,023.58x = 1,534.02 × 373.69
  4. Step 4: Simplify right side
    1,023.58x = 573,247.93
  5. Step 5: Solve for x
    x = 573,247.93/1,023.58
  6. Step 6: Final answer
    x = 560.04

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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.