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Finding the Fourth Proportional to 916.59, 1,264.62 and 567.39

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Solution

The fourth proportional to 916.59, 1,264.62 and 567.39 is: 782.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.59 : 1,264.62 = 567.39 : x
  2. Step 2: Convert to fraction form
    916.59/1,264.62 = 567.39/x
  3. Step 3: Cross multiply
    916.59x = 1,264.62 × 567.39
  4. Step 4: Simplify right side
    916.59x = 717,532.74
  5. Step 5: Solve for x
    x = 717,532.74/916.59
  6. Step 6: Final answer
    x = 782.83

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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.