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Finding the Fourth Proportional to 596.81, 891.02 and 510.18

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Solution

The fourth proportional to 596.81, 891.02 and 510.18 is: 761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.81 : 891.02 = 510.18 : x
  2. Step 2: Convert to fraction form
    596.81/891.02 = 510.18/x
  3. Step 3: Cross multiply
    596.81x = 891.02 × 510.18
  4. Step 4: Simplify right side
    596.81x = 454,578.52
  5. Step 5: Solve for x
    x = 454,578.52/596.81
  6. Step 6: Final answer
    x = 761.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.