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Finding the Fourth Proportional to 1,471.31, 2,205.98 and 777.25

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Solution

The fourth proportional to 1,471.31, 2,205.98 and 777.25 is: 1,165.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.31 : 2,205.98 = 777.25 : x
  2. Step 2: Convert to fraction form
    1,471.31/2,205.98 = 777.25/x
  3. Step 3: Cross multiply
    1,471.31x = 2,205.98 × 777.25
  4. Step 4: Simplify right side
    1,471.31x = 1,714,597.96
  5. Step 5: Solve for x
    x = 1,714,597.96/1,471.31
  6. Step 6: Final answer
    x = 1,165.35

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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.