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Finding the Fourth Proportional to 1,030.92, 1,548.40 and 884.61

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Solution

The fourth proportional to 1,030.92, 1,548.40 and 884.61 is: 1,328.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.92 : 1,548.40 = 884.61 : x
  2. Step 2: Convert to fraction form
    1,030.92/1,548.40 = 884.61/x
  3. Step 3: Cross multiply
    1,030.92x = 1,548.40 × 884.61
  4. Step 4: Simplify right side
    1,030.92x = 1,369,730.12
  5. Step 5: Solve for x
    x = 1,369,730.12/1,030.92
  6. Step 6: Final answer
    x = 1,328.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.