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Finding the Fourth Proportional to 1,216.61, 1,678.92 and 657.07

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Solution

The fourth proportional to 1,216.61, 1,678.92 and 657.07 is: 906.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.61 : 1,678.92 = 657.07 : x
  2. Step 2: Convert to fraction form
    1,216.61/1,678.92 = 657.07/x
  3. Step 3: Cross multiply
    1,216.61x = 1,678.92 × 657.07
  4. Step 4: Simplify right side
    1,216.61x = 1,103,172.23
  5. Step 5: Solve for x
    x = 1,103,172.23/1,216.61
  6. Step 6: Final answer
    x = 906.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.