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Finding the Fourth Proportional to 933.76, 1,288.51 and 602.29

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Solution

The fourth proportional to 933.76, 1,288.51 and 602.29 is: 831.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.76 : 1,288.51 = 602.29 : x
  2. Step 2: Convert to fraction form
    933.76/1,288.51 = 602.29/x
  3. Step 3: Cross multiply
    933.76x = 1,288.51 × 602.29
  4. Step 4: Simplify right side
    933.76x = 776,056.69
  5. Step 5: Solve for x
    x = 776,056.69/933.76
  6. Step 6: Final answer
    x = 831.11

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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.