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Finding the Fourth Proportional to 1,098.61, 1,647.29 and 578.06

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Solution

The fourth proportional to 1,098.61, 1,647.29 and 578.06 is: 866.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.61 : 1,647.29 = 578.06 : x
  2. Step 2: Convert to fraction form
    1,098.61/1,647.29 = 578.06/x
  3. Step 3: Cross multiply
    1,098.61x = 1,647.29 × 578.06
  4. Step 4: Simplify right side
    1,098.61x = 952,232.46
  5. Step 5: Solve for x
    x = 952,232.46/1,098.61
  6. Step 6: Final answer
    x = 866.76

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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.