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Finding the Fourth Proportional to 1,055.92, 1,456.90 and 657.89

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Solution

The fourth proportional to 1,055.92, 1,456.90 and 657.89 is: 907.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.92 : 1,456.90 = 657.89 : x
  2. Step 2: Convert to fraction form
    1,055.92/1,456.90 = 657.89/x
  3. Step 3: Cross multiply
    1,055.92x = 1,456.90 × 657.89
  4. Step 4: Simplify right side
    1,055.92x = 958,479.94
  5. Step 5: Solve for x
    x = 958,479.94/1,055.92
  6. Step 6: Final answer
    x = 907.72

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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.