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Finding the Fourth Proportional to 942.13, 1,411.65 and 575.80

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Solution

The fourth proportional to 942.13, 1,411.65 and 575.80 is: 862.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.13 : 1,411.65 = 575.80 : x
  2. Step 2: Convert to fraction form
    942.13/1,411.65 = 575.80/x
  3. Step 3: Cross multiply
    942.13x = 1,411.65 × 575.80
  4. Step 4: Simplify right side
    942.13x = 812,828.07
  5. Step 5: Solve for x
    x = 812,828.07/942.13
  6. Step 6: Final answer
    x = 862.76

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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.