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Finding the Fourth Proportional to 677.84, 1,016.13 and 417.65

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Solution

The fourth proportional to 677.84, 1,016.13 and 417.65 is: 626.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.84 : 1,016.13 = 417.65 : x
  2. Step 2: Convert to fraction form
    677.84/1,016.13 = 417.65/x
  3. Step 3: Cross multiply
    677.84x = 1,016.13 × 417.65
  4. Step 4: Simplify right side
    677.84x = 424,386.69
  5. Step 5: Solve for x
    x = 424,386.69/677.84
  6. Step 6: Final answer
    x = 626.09

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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.