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Finding the Fourth Proportional to 915.24, 1,261.80 and 652.80

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Solution

The fourth proportional to 915.24, 1,261.80 and 652.80 is: 899.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.24 : 1,261.80 = 652.80 : x
  2. Step 2: Convert to fraction form
    915.24/1,261.80 = 652.80/x
  3. Step 3: Cross multiply
    915.24x = 1,261.80 × 652.80
  4. Step 4: Simplify right side
    915.24x = 823,703.04
  5. Step 5: Solve for x
    x = 823,703.04/915.24
  6. Step 6: Final answer
    x = 899.99

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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.