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Finding the Fourth Proportional to 665.40, 916.78 and 588.60

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Solution

The fourth proportional to 665.40, 916.78 and 588.60 is: 810.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.40 : 916.78 = 588.60 : x
  2. Step 2: Convert to fraction form
    665.40/916.78 = 588.60/x
  3. Step 3: Cross multiply
    665.40x = 916.78 × 588.60
  4. Step 4: Simplify right side
    665.40x = 539,616.71
  5. Step 5: Solve for x
    x = 539,616.71/665.40
  6. Step 6: Final answer
    x = 810.97

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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.