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Finding the Fourth Proportional to 1,053.61, 1,577.34 and 832.70

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Solution

The fourth proportional to 1,053.61, 1,577.34 and 832.70 is: 1,246.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.61 : 1,577.34 = 832.70 : x
  2. Step 2: Convert to fraction form
    1,053.61/1,577.34 = 832.70/x
  3. Step 3: Cross multiply
    1,053.61x = 1,577.34 × 832.70
  4. Step 4: Simplify right side
    1,053.61x = 1,313,454.96
  5. Step 5: Solve for x
    x = 1,313,454.96/1,053.61
  6. Step 6: Final answer
    x = 1,246.63

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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.