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Finding the Fourth Proportional to 876.47, 1,315.16 and 568.23

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Solution

The fourth proportional to 876.47, 1,315.16 and 568.23 is: 852.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.47 : 1,315.16 = 568.23 : x
  2. Step 2: Convert to fraction form
    876.47/1,315.16 = 568.23/x
  3. Step 3: Cross multiply
    876.47x = 1,315.16 × 568.23
  4. Step 4: Simplify right side
    876.47x = 747,310.53
  5. Step 5: Solve for x
    x = 747,310.53/876.47
  6. Step 6: Final answer
    x = 852.64

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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.