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Finding the Fourth Proportional to 933.61, 1,288.13 and 602.46

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Solution

The fourth proportional to 933.61, 1,288.13 and 602.46 is: 831.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.61 : 1,288.13 = 602.46 : x
  2. Step 2: Convert to fraction form
    933.61/1,288.13 = 602.46/x
  3. Step 3: Cross multiply
    933.61x = 1,288.13 × 602.46
  4. Step 4: Simplify right side
    933.61x = 776,046.80
  5. Step 5: Solve for x
    x = 776,046.80/933.61
  6. Step 6: Final answer
    x = 831.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.