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Finding the Fourth Proportional to 1,098.42, 1,515.81 and 632.58

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Solution

The fourth proportional to 1,098.42, 1,515.81 and 632.58 is: 872.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.42 : 1,515.81 = 632.58 : x
  2. Step 2: Convert to fraction form
    1,098.42/1,515.81 = 632.58/x
  3. Step 3: Cross multiply
    1,098.42x = 1,515.81 × 632.58
  4. Step 4: Simplify right side
    1,098.42x = 958,871.09
  5. Step 5: Solve for x
    x = 958,871.09/1,098.42
  6. Step 6: Final answer
    x = 872.95

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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.