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Finding the Fourth Proportional to 942.13, 1,300.02 and 592.75

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Solution

The fourth proportional to 942.13, 1,300.02 and 592.75 is: 817.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.13 : 1,300.02 = 592.75 : x
  2. Step 2: Convert to fraction form
    942.13/1,300.02 = 592.75/x
  3. Step 3: Cross multiply
    942.13x = 1,300.02 × 592.75
  4. Step 4: Simplify right side
    942.13x = 770,586.86
  5. Step 5: Solve for x
    x = 770,586.86/942.13
  6. Step 6: Final answer
    x = 817.92

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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.