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Finding the Fourth Proportional to 1,477.70, 2,217.32 and 656.56

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Solution

The fourth proportional to 1,477.70, 2,217.32 and 656.56 is: 985.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.70 : 2,217.32 = 656.56 : x
  2. Step 2: Convert to fraction form
    1,477.70/2,217.32 = 656.56/x
  3. Step 3: Cross multiply
    1,477.70x = 2,217.32 × 656.56
  4. Step 4: Simplify right side
    1,477.70x = 1,455,805.26
  5. Step 5: Solve for x
    x = 1,455,805.26/1,477.70
  6. Step 6: Final answer
    x = 985.18

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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.