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Finding the Fourth Proportional to 1,135.85, 1,574.05 and 1,113.98

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Solution

The fourth proportional to 1,135.85, 1,574.05 and 1,113.98 is: 1,543.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.85 : 1,574.05 = 1,113.98 : x
  2. Step 2: Convert to fraction form
    1,135.85/1,574.05 = 1,113.98/x
  3. Step 3: Cross multiply
    1,135.85x = 1,574.05 × 1,113.98
  4. Step 4: Simplify right side
    1,135.85x = 1,753,460.22
  5. Step 5: Solve for x
    x = 1,753,460.22/1,135.85
  6. Step 6: Final answer
    x = 1,543.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.