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Finding the Fourth Proportional to 875.23, 1,206.82 and 560.08

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Solution

The fourth proportional to 875.23, 1,206.82 and 560.08 is: 772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.23 : 1,206.82 = 560.08 : x
  2. Step 2: Convert to fraction form
    875.23/1,206.82 = 560.08/x
  3. Step 3: Cross multiply
    875.23x = 1,206.82 × 560.08
  4. Step 4: Simplify right side
    875.23x = 675,915.75
  5. Step 5: Solve for x
    x = 675,915.75/875.23
  6. Step 6: Final answer
    x = 772.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.