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Finding the Fourth Proportional to 1,098.72, 1,647.60 and 358.12

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Solution

The fourth proportional to 1,098.72, 1,647.60 and 358.12 is: 537.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.72 : 1,647.60 = 358.12 : x
  2. Step 2: Convert to fraction form
    1,098.72/1,647.60 = 358.12/x
  3. Step 3: Cross multiply
    1,098.72x = 1,647.60 × 358.12
  4. Step 4: Simplify right side
    1,098.72x = 590,038.51
  5. Step 5: Solve for x
    x = 590,038.51/1,098.72
  6. Step 6: Final answer
    x = 537.02

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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.