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Finding the Fourth Proportional to 942, 1,300.08 and 592.80

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Solution

The fourth proportional to 942, 1,300.08 and 592.80 is: 818.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    942 : 1,300.08 = 592.80 : x
  2. Step 2: Convert to fraction form
    942/1,300.08 = 592.80/x
  3. Step 3: Cross multiply
    942x = 1,300.08 × 592.80
  4. Step 4: Simplify right side
    942x = 770,687.42
  5. Step 5: Solve for x
    x = 770,687.42/942
  6. Step 6: Final answer
    x = 818.14

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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.