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Finding the Fourth Proportional to 1,002.96, 1,495.62 and 841.68

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Solution

The fourth proportional to 1,002.96, 1,495.62 and 841.68 is: 1,255.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.96 : 1,495.62 = 841.68 : x
  2. Step 2: Convert to fraction form
    1,002.96/1,495.62 = 841.68/x
  3. Step 3: Cross multiply
    1,002.96x = 1,495.62 × 841.68
  4. Step 4: Simplify right side
    1,002.96x = 1,258,833.44
  5. Step 5: Solve for x
    x = 1,258,833.44/1,002.96
  6. Step 6: Final answer
    x = 1,255.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.