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Finding the Fourth Proportional to 934.18, 1,288.90 and 602.80

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Solution

The fourth proportional to 934.18, 1,288.90 and 602.80 is: 831.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.18 : 1,288.90 = 602.80 : x
  2. Step 2: Convert to fraction form
    934.18/1,288.90 = 602.80/x
  3. Step 3: Cross multiply
    934.18x = 1,288.90 × 602.80
  4. Step 4: Simplify right side
    934.18x = 776,947.41
  5. Step 5: Solve for x
    x = 776,947.41/934.18
  6. Step 6: Final answer
    x = 831.69

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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.