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Finding the Fourth Proportional to 666.01, 994.07 and 588.16

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Solution

The fourth proportional to 666.01, 994.07 and 588.16 is: 877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.01 : 994.07 = 588.16 : x
  2. Step 2: Convert to fraction form
    666.01/994.07 = 588.16/x
  3. Step 3: Cross multiply
    666.01x = 994.07 × 588.16
  4. Step 4: Simplify right side
    666.01x = 584,666.79
  5. Step 5: Solve for x
    x = 584,666.79/666.01
  6. Step 6: Final answer
    x = 877.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.