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Finding the Fourth Proportional to 691.83, 1,038.20 and 510.49

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Solution

The fourth proportional to 691.83, 1,038.20 and 510.49 is: 766.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.83 : 1,038.20 = 510.49 : x
  2. Step 2: Convert to fraction form
    691.83/1,038.20 = 510.49/x
  3. Step 3: Cross multiply
    691.83x = 1,038.20 × 510.49
  4. Step 4: Simplify right side
    691.83x = 529,990.72
  5. Step 5: Solve for x
    x = 529,990.72/691.83
  6. Step 6: Final answer
    x = 766.07

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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.