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Finding the Fourth Proportional to 693.68, 1,038.07 and 433.80

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Solution

The fourth proportional to 693.68, 1,038.07 and 433.80 is: 649.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.68 : 1,038.07 = 433.80 : x
  2. Step 2: Convert to fraction form
    693.68/1,038.07 = 433.80/x
  3. Step 3: Cross multiply
    693.68x = 1,038.07 × 433.80
  4. Step 4: Simplify right side
    693.68x = 450,314.77
  5. Step 5: Solve for x
    x = 450,314.77/693.68
  6. Step 6: Final answer
    x = 649.17

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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.