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Finding the Fourth Proportional to 876.33, 1,312.35 and 567.26

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Solution

The fourth proportional to 876.33, 1,312.35 and 567.26 is: 849.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.33 : 1,312.35 = 567.26 : x
  2. Step 2: Convert to fraction form
    876.33/1,312.35 = 567.26/x
  3. Step 3: Cross multiply
    876.33x = 1,312.35 × 567.26
  4. Step 4: Simplify right side
    876.33x = 744,437.10
  5. Step 5: Solve for x
    x = 744,437.10/876.33
  6. Step 6: Final answer
    x = 849.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.