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Finding the Fourth Proportional to 964.88, 1,454.30 and 912.08

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Solution

The fourth proportional to 964.88, 1,454.30 and 912.08 is: 1,374.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.88 : 1,454.30 = 912.08 : x
  2. Step 2: Convert to fraction form
    964.88/1,454.30 = 912.08/x
  3. Step 3: Cross multiply
    964.88x = 1,454.30 × 912.08
  4. Step 4: Simplify right side
    964.88x = 1,326,437.94
  5. Step 5: Solve for x
    x = 1,326,437.94/964.88
  6. Step 6: Final answer
    x = 1,374.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.