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Finding the Fourth Proportional to 864.83, 1,193.43 and 510.71

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Solution

The fourth proportional to 864.83, 1,193.43 and 510.71 is: 704.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.83 : 1,193.43 = 510.71 : x
  2. Step 2: Convert to fraction form
    864.83/1,193.43 = 510.71/x
  3. Step 3: Cross multiply
    864.83x = 1,193.43 × 510.71
  4. Step 4: Simplify right side
    864.83x = 609,492.58
  5. Step 5: Solve for x
    x = 609,492.58/864.83
  6. Step 6: Final answer
    x = 704.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.