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Finding the Fourth Proportional to 696.57, 1,045.04 and 349.89

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Solution

The fourth proportional to 696.57, 1,045.04 and 349.89 is: 524.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.57 : 1,045.04 = 349.89 : x
  2. Step 2: Convert to fraction form
    696.57/1,045.04 = 349.89/x
  3. Step 3: Cross multiply
    696.57x = 1,045.04 × 349.89
  4. Step 4: Simplify right side
    696.57x = 365,649.05
  5. Step 5: Solve for x
    x = 365,649.05/696.57
  6. Step 6: Final answer
    x = 524.93

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