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Finding the Fourth Proportional to 693.18, 1,038.78 and 510.84

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Solution

The fourth proportional to 693.18, 1,038.78 and 510.84 is: 765.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.18 : 1,038.78 = 510.84 : x
  2. Step 2: Convert to fraction form
    693.18/1,038.78 = 510.84/x
  3. Step 3: Cross multiply
    693.18x = 1,038.78 × 510.84
  4. Step 4: Simplify right side
    693.18x = 530,650.38
  5. Step 5: Solve for x
    x = 530,650.38/693.18
  6. Step 6: Final answer
    x = 765.53

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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.