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Finding the Fourth Proportional to 668.51, 1,000.40 and 586.02

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Solution

The fourth proportional to 668.51, 1,000.40 and 586.02 is: 876.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.51 : 1,000.40 = 586.02 : x
  2. Step 2: Convert to fraction form
    668.51/1,000.40 = 586.02/x
  3. Step 3: Cross multiply
    668.51x = 1,000.40 × 586.02
  4. Step 4: Simplify right side
    668.51x = 586,251.48
  5. Step 5: Solve for x
    x = 586,251.48/668.51
  6. Step 6: Final answer
    x = 876.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.