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Finding the Fourth Proportional to 592.04, 886.62 and 574.76

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Solution

The fourth proportional to 592.04, 886.62 and 574.76 is: 860.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.04 : 886.62 = 574.76 : x
  2. Step 2: Convert to fraction form
    592.04/886.62 = 574.76/x
  3. Step 3: Cross multiply
    592.04x = 886.62 × 574.76
  4. Step 4: Simplify right side
    592.04x = 509,593.71
  5. Step 5: Solve for x
    x = 509,593.71/592.04
  6. Step 6: Final answer
    x = 860.74

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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.