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Finding the Fourth Proportional to 916.88, 1,265.36 and 567.77

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Solution

The fourth proportional to 916.88, 1,265.36 and 567.77 is: 783.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.88 : 1,265.36 = 567.77 : x
  2. Step 2: Convert to fraction form
    916.88/1,265.36 = 567.77/x
  3. Step 3: Cross multiply
    916.88x = 1,265.36 × 567.77
  4. Step 4: Simplify right side
    916.88x = 718,424.28
  5. Step 5: Solve for x
    x = 718,424.28/916.88
  6. Step 6: Final answer
    x = 783.56

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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.