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Finding the Fourth Proportional to 666.88, 1,005.88 and 586.72

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Solution

The fourth proportional to 666.88, 1,005.88 and 586.72 is: 884.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.88 : 1,005.88 = 586.72 : x
  2. Step 2: Convert to fraction form
    666.88/1,005.88 = 586.72/x
  3. Step 3: Cross multiply
    666.88x = 1,005.88 × 586.72
  4. Step 4: Simplify right side
    666.88x = 590,169.91
  5. Step 5: Solve for x
    x = 590,169.91/666.88
  6. Step 6: Final answer
    x = 884.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.