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Finding the Fourth Proportional to 697.96, 1,045.95 and 513.91

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Solution

The fourth proportional to 697.96, 1,045.95 and 513.91 is: 770.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.96 : 1,045.95 = 513.91 : x
  2. Step 2: Convert to fraction form
    697.96/1,045.95 = 513.91/x
  3. Step 3: Cross multiply
    697.96x = 1,045.95 × 513.91
  4. Step 4: Simplify right side
    697.96x = 537,524.16
  5. Step 5: Solve for x
    x = 537,524.16/697.96
  6. Step 6: Final answer
    x = 770.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.