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Finding the Fourth Proportional to 693.07, 1,038.82 and 282.10

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Solution

The fourth proportional to 693.07, 1,038.82 and 282.10 is: 422.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.07 : 1,038.82 = 282.10 : x
  2. Step 2: Convert to fraction form
    693.07/1,038.82 = 282.10/x
  3. Step 3: Cross multiply
    693.07x = 1,038.82 × 282.10
  4. Step 4: Simplify right side
    693.07x = 293,051.12
  5. Step 5: Solve for x
    x = 293,051.12/693.07
  6. Step 6: Final answer
    x = 422.83

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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.