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Finding the Fourth Proportional to 1,478.31, 2,218.05 and 656.01

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Solution

The fourth proportional to 1,478.31, 2,218.05 and 656.01 is: 984.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.31 : 2,218.05 = 656.01 : x
  2. Step 2: Convert to fraction form
    1,478.31/2,218.05 = 656.01/x
  3. Step 3: Cross multiply
    1,478.31x = 2,218.05 × 656.01
  4. Step 4: Simplify right side
    1,478.31x = 1,455,062.98
  5. Step 5: Solve for x
    x = 1,455,062.98/1,478.31
  6. Step 6: Final answer
    x = 984.27

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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.