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Finding the Fourth Proportional to 1,137.60, 1,570.05 and 743.94

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Solution

The fourth proportional to 1,137.60, 1,570.05 and 743.94 is: 1,026.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.60 : 1,570.05 = 743.94 : x
  2. Step 2: Convert to fraction form
    1,137.60/1,570.05 = 743.94/x
  3. Step 3: Cross multiply
    1,137.60x = 1,570.05 × 743.94
  4. Step 4: Simplify right side
    1,137.60x = 1,168,023.00
  5. Step 5: Solve for x
    x = 1,168,023.00/1,137.60
  6. Step 6: Final answer
    x = 1,026.74

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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.