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Finding the Fourth Proportional to 742.01, 1,023.35 and 555.94

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Solution

The fourth proportional to 742.01, 1,023.35 and 555.94 is: 766.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.01 : 1,023.35 = 555.94 : x
  2. Step 2: Convert to fraction form
    742.01/1,023.35 = 555.94/x
  3. Step 3: Cross multiply
    742.01x = 1,023.35 × 555.94
  4. Step 4: Simplify right side
    742.01x = 568,913.30
  5. Step 5: Solve for x
    x = 568,913.30/742.01
  6. Step 6: Final answer
    x = 766.72

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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.