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Finding the Fourth Proportional to 690.68, 1,036.38 and 417.44

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Solution

The fourth proportional to 690.68, 1,036.38 and 417.44 is: 626.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.68 : 1,036.38 = 417.44 : x
  2. Step 2: Convert to fraction form
    690.68/1,036.38 = 417.44/x
  3. Step 3: Cross multiply
    690.68x = 1,036.38 × 417.44
  4. Step 4: Simplify right side
    690.68x = 432,626.47
  5. Step 5: Solve for x
    x = 432,626.47/690.68
  6. Step 6: Final answer
    x = 626.38

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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.