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Finding the Fourth Proportional to 1,062.04, 1,590.36 and 844.96

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Solution

The fourth proportional to 1,062.04, 1,590.36 and 844.96 is: 1,265.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.04 : 1,590.36 = 844.96 : x
  2. Step 2: Convert to fraction form
    1,062.04/1,590.36 = 844.96/x
  3. Step 3: Cross multiply
    1,062.04x = 1,590.36 × 844.96
  4. Step 4: Simplify right side
    1,062.04x = 1,343,790.59
  5. Step 5: Solve for x
    x = 1,343,790.59/1,062.04
  6. Step 6: Final answer
    x = 1,265.29

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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.