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Finding the Fourth Proportional to 602.76, 830.14 and 519.83

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Solution

The fourth proportional to 602.76, 830.14 and 519.83 is: 715.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.76 : 830.14 = 519.83 : x
  2. Step 2: Convert to fraction form
    602.76/830.14 = 519.83/x
  3. Step 3: Cross multiply
    602.76x = 830.14 × 519.83
  4. Step 4: Simplify right side
    602.76x = 431,534.01
  5. Step 5: Solve for x
    x = 431,534.01/602.76
  6. Step 6: Final answer
    x = 715.93

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Double scale
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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.