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Finding the Fourth Proportional to 1,098.65, 1,647.87 and 368.24

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Solution

The fourth proportional to 1,098.65, 1,647.87 and 368.24 is: 552.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.65 : 1,647.87 = 368.24 : x
  2. Step 2: Convert to fraction form
    1,098.65/1,647.87 = 368.24/x
  3. Step 3: Cross multiply
    1,098.65x = 1,647.87 × 368.24
  4. Step 4: Simplify right side
    1,098.65x = 606,803.41
  5. Step 5: Solve for x
    x = 606,803.41/1,098.65
  6. Step 6: Final answer
    x = 552.32

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