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Finding the Fourth Proportional to 840.30, 1,260.18 and 732.30

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Solution

The fourth proportional to 840.30, 1,260.18 and 732.30 is: 1,098.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.30 : 1,260.18 = 732.30 : x
  2. Step 2: Convert to fraction form
    840.30/1,260.18 = 732.30/x
  3. Step 3: Cross multiply
    840.30x = 1,260.18 × 732.30
  4. Step 4: Simplify right side
    840.30x = 922,829.81
  5. Step 5: Solve for x
    x = 922,829.81/840.30
  6. Step 6: Final answer
    x = 1,098.21

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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.