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Finding the Fourth Proportional to 916.35, 1,264.64 and 567.15

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Solution

The fourth proportional to 916.35, 1,264.64 and 567.15 is: 782.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.35 : 1,264.64 = 567.15 : x
  2. Step 2: Convert to fraction form
    916.35/1,264.64 = 567.15/x
  3. Step 3: Cross multiply
    916.35x = 1,264.64 × 567.15
  4. Step 4: Simplify right side
    916.35x = 717,237.74
  5. Step 5: Solve for x
    x = 717,237.74/916.35
  6. Step 6: Final answer
    x = 782.71

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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.