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Finding the Fourth Proportional to 696.68, 1,045.64 and 513.62

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Solution

The fourth proportional to 696.68, 1,045.64 and 513.62 is: 770.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.68 : 1,045.64 = 513.62 : x
  2. Step 2: Convert to fraction form
    696.68/1,045.64 = 513.62/x
  3. Step 3: Cross multiply
    696.68x = 1,045.64 × 513.62
  4. Step 4: Simplify right side
    696.68x = 537,061.62
  5. Step 5: Solve for x
    x = 537,061.62/696.68
  6. Step 6: Final answer
    x = 770.89

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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.