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Finding the Fourth Proportional to 916.90, 1,264.87 and 567.54

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Solution

The fourth proportional to 916.90, 1,264.87 and 567.54 is: 782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.90 : 1,264.87 = 567.54 : x
  2. Step 2: Convert to fraction form
    916.90/1,264.87 = 567.54/x
  3. Step 3: Cross multiply
    916.90x = 1,264.87 × 567.54
  4. Step 4: Simplify right side
    916.90x = 717,864.32
  5. Step 5: Solve for x
    x = 717,864.32/916.90
  6. Step 6: Final answer
    x = 782.93

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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.