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Finding the Fourth Proportional to 1,218.64, 1,826.88 and 488.24

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Solution

The fourth proportional to 1,218.64, 1,826.88 and 488.24 is: 731.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.64 : 1,826.88 = 488.24 : x
  2. Step 2: Convert to fraction form
    1,218.64/1,826.88 = 488.24/x
  3. Step 3: Cross multiply
    1,218.64x = 1,826.88 × 488.24
  4. Step 4: Simplify right side
    1,218.64x = 891,955.89
  5. Step 5: Solve for x
    x = 891,955.89/1,218.64
  6. Step 6: Final answer
    x = 731.93

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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.