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Finding the Fourth Proportional to 1,047.06, 1,445.12 and 598.92

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Solution

The fourth proportional to 1,047.06, 1,445.12 and 598.92 is: 826.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.06 : 1,445.12 = 598.92 : x
  2. Step 2: Convert to fraction form
    1,047.06/1,445.12 = 598.92/x
  3. Step 3: Cross multiply
    1,047.06x = 1,445.12 × 598.92
  4. Step 4: Simplify right side
    1,047.06x = 865,511.27
  5. Step 5: Solve for x
    x = 865,511.27/1,047.06
  6. Step 6: Final answer
    x = 826.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.