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Finding the Fourth Proportional to 1,062.96, 1,590.44 and 1,004.40

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Solution

The fourth proportional to 1,062.96, 1,590.44 and 1,004.40 is: 1,502.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.96 : 1,590.44 = 1,004.40 : x
  2. Step 2: Convert to fraction form
    1,062.96/1,590.44 = 1,004.40/x
  3. Step 3: Cross multiply
    1,062.96x = 1,590.44 × 1,004.40
  4. Step 4: Simplify right side
    1,062.96x = 1,597,437.94
  5. Step 5: Solve for x
    x = 1,597,437.94/1,062.96
  6. Step 6: Final answer
    x = 1,502.82

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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.