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Finding the Fourth Proportional to 1,152.78, 1,590.36 and 803.67

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Solution

The fourth proportional to 1,152.78, 1,590.36 and 803.67 is: 1,108.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.78 : 1,590.36 = 803.67 : x
  2. Step 2: Convert to fraction form
    1,152.78/1,590.36 = 803.67/x
  3. Step 3: Cross multiply
    1,152.78x = 1,590.36 × 803.67
  4. Step 4: Simplify right side
    1,152.78x = 1,278,124.62
  5. Step 5: Solve for x
    x = 1,278,124.62/1,152.78
  6. Step 6: Final answer
    x = 1,108.73

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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.