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Finding the Fourth Proportional to 876.51, 1,315.32 and 414.31

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Solution

The fourth proportional to 876.51, 1,315.32 and 414.31 is: 621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.51 : 1,315.32 = 414.31 : x
  2. Step 2: Convert to fraction form
    876.51/1,315.32 = 414.31/x
  3. Step 3: Cross multiply
    876.51x = 1,315.32 × 414.31
  4. Step 4: Simplify right side
    876.51x = 544,943.65
  5. Step 5: Solve for x
    x = 544,943.65/876.51
  6. Step 6: Final answer
    x = 621.72

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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.