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Finding the Fourth Proportional to 1,137.60, 1,703.88 and 650.34

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Solution

The fourth proportional to 1,137.60, 1,703.88 and 650.34 is: 974.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.60 : 1,703.88 = 650.34 : x
  2. Step 2: Convert to fraction form
    1,137.60/1,703.88 = 650.34/x
  3. Step 3: Cross multiply
    1,137.60x = 1,703.88 × 650.34
  4. Step 4: Simplify right side
    1,137.60x = 1,108,101.32
  5. Step 5: Solve for x
    x = 1,108,101.32/1,137.60
  6. Step 6: Final answer
    x = 974.07

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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.