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Finding the Fourth Proportional to 616.45, 924.68 and 589.79

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Solution

The fourth proportional to 616.45, 924.68 and 589.79 is: 884.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.45 : 924.68 = 589.79 : x
  2. Step 2: Convert to fraction form
    616.45/924.68 = 589.79/x
  3. Step 3: Cross multiply
    616.45x = 924.68 × 589.79
  4. Step 4: Simplify right side
    616.45x = 545,367.02
  5. Step 5: Solve for x
    x = 545,367.02/616.45
  6. Step 6: Final answer
    x = 884.69

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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.