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Finding the Fourth Proportional to 1,152.32, 1,590.12 and 778.70

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Solution

The fourth proportional to 1,152.32, 1,590.12 and 778.70 is: 1,074.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.32 : 1,590.12 = 778.70 : x
  2. Step 2: Convert to fraction form
    1,152.32/1,590.12 = 778.70/x
  3. Step 3: Cross multiply
    1,152.32x = 1,590.12 × 778.70
  4. Step 4: Simplify right side
    1,152.32x = 1,238,230.42
  5. Step 5: Solve for x
    x = 1,238,230.42/1,152.32
  6. Step 6: Final answer
    x = 1,074.56

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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.