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Finding the Fourth Proportional to 1,152.24, 1,590.84 and 843.12

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Solution

The fourth proportional to 1,152.24, 1,590.84 and 843.12 is: 1,164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.24 : 1,590.84 = 843.12 : x
  2. Step 2: Convert to fraction form
    1,152.24/1,590.84 = 843.12/x
  3. Step 3: Cross multiply
    1,152.24x = 1,590.84 × 843.12
  4. Step 4: Simplify right side
    1,152.24x = 1,341,269.02
  5. Step 5: Solve for x
    x = 1,341,269.02/1,152.24
  6. Step 6: Final answer
    x = 1,164.05

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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.