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Finding the Fourth Proportional to 697.08, 1,045.68 and 410.52

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Solution

The fourth proportional to 697.08, 1,045.68 and 410.52 is: 615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.08 : 1,045.68 = 410.52 : x
  2. Step 2: Convert to fraction form
    697.08/1,045.68 = 410.52/x
  3. Step 3: Cross multiply
    697.08x = 1,045.68 × 410.52
  4. Step 4: Simplify right side
    697.08x = 429,272.55
  5. Step 5: Solve for x
    x = 429,272.55/697.08
  6. Step 6: Final answer
    x = 615.82

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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.