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Finding the Fourth Proportional to 623.66, 934.74 and 616.82

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Solution

The fourth proportional to 623.66, 934.74 and 616.82 is: 924.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.66 : 934.74 = 616.82 : x
  2. Step 2: Convert to fraction form
    623.66/934.74 = 616.82/x
  3. Step 3: Cross multiply
    623.66x = 934.74 × 616.82
  4. Step 4: Simplify right side
    623.66x = 576,561.65
  5. Step 5: Solve for x
    x = 576,561.65/623.66
  6. Step 6: Final answer
    x = 924.49

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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.