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Finding the Fourth Proportional to 768.14, 1,060.54 and 590.78

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Solution

The fourth proportional to 768.14, 1,060.54 and 590.78 is: 815.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.14 : 1,060.54 = 590.78 : x
  2. Step 2: Convert to fraction form
    768.14/1,060.54 = 590.78/x
  3. Step 3: Cross multiply
    768.14x = 1,060.54 × 590.78
  4. Step 4: Simplify right side
    768.14x = 626,545.82
  5. Step 5: Solve for x
    x = 626,545.82/768.14
  6. Step 6: Final answer
    x = 815.67

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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.