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Finding the Fourth Proportional to 1,478.24, 2,218.91 and 657.10

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Solution

The fourth proportional to 1,478.24, 2,218.91 and 657.10 is: 986.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.24 : 2,218.91 = 657.10 : x
  2. Step 2: Convert to fraction form
    1,478.24/2,218.91 = 657.10/x
  3. Step 3: Cross multiply
    1,478.24x = 2,218.91 × 657.10
  4. Step 4: Simplify right side
    1,478.24x = 1,458,036.93
  5. Step 5: Solve for x
    x = 1,458,036.93/1,478.24
  6. Step 6: Final answer
    x = 986.33

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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.