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Finding the Fourth Proportional to 1,160.75, 1,741.76 and 583.63

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Solution

The fourth proportional to 1,160.75, 1,741.76 and 583.63 is: 875.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.75 : 1,741.76 = 583.63 : x
  2. Step 2: Convert to fraction form
    1,160.75/1,741.76 = 583.63/x
  3. Step 3: Cross multiply
    1,160.75x = 1,741.76 × 583.63
  4. Step 4: Simplify right side
    1,160.75x = 1,016,543.39
  5. Step 5: Solve for x
    x = 1,016,543.39/1,160.75
  6. Step 6: Final answer
    x = 875.76

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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.