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Finding the Fourth Proportional to 917.09, 1,265.70 and 567.83

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Solution

The fourth proportional to 917.09, 1,265.70 and 567.83 is: 783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.09 : 1,265.70 = 567.83 : x
  2. Step 2: Convert to fraction form
    917.09/1,265.70 = 567.83/x
  3. Step 3: Cross multiply
    917.09x = 1,265.70 × 567.83
  4. Step 4: Simplify right side
    917.09x = 718,702.43
  5. Step 5: Solve for x
    x = 718,702.43/917.09
  6. Step 6: Final answer
    x = 783.68

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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.