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Finding the Fourth Proportional to 1,098.69, 1,648.23 and 368.47

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Solution

The fourth proportional to 1,098.69, 1,648.23 and 368.47 is: 552.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.69 : 1,648.23 = 368.47 : x
  2. Step 2: Convert to fraction form
    1,098.69/1,648.23 = 368.47/x
  3. Step 3: Cross multiply
    1,098.69x = 1,648.23 × 368.47
  4. Step 4: Simplify right side
    1,098.69x = 607,323.31
  5. Step 5: Solve for x
    x = 607,323.31/1,098.69
  6. Step 6: Final answer
    x = 552.77

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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.