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Finding the Fourth Proportional to 916.83, 1,265.66 and 580.90

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Solution

The fourth proportional to 916.83, 1,265.66 and 580.90 is: 801.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.83 : 1,265.66 = 580.90 : x
  2. Step 2: Convert to fraction form
    916.83/1,265.66 = 580.90/x
  3. Step 3: Cross multiply
    916.83x = 1,265.66 × 580.90
  4. Step 4: Simplify right side
    916.83x = 735,218.00
  5. Step 5: Solve for x
    x = 735,218.00/916.83
  6. Step 6: Final answer
    x = 801.91

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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.