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Finding the Fourth Proportional to 916.66, 1,265.05 and 567.41

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Solution

The fourth proportional to 916.66, 1,265.05 and 567.41 is: 783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.66 : 1,265.05 = 567.41 : x
  2. Step 2: Convert to fraction form
    916.66/1,265.05 = 567.41/x
  3. Step 3: Cross multiply
    916.66x = 1,265.05 × 567.41
  4. Step 4: Simplify right side
    916.66x = 717,802.02
  5. Step 5: Solve for x
    x = 717,802.02/916.66
  6. Step 6: Final answer
    x = 783.06

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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.