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Finding the Fourth Proportional to 1,156.46, 1,595.97 and 684.50

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Solution

The fourth proportional to 1,156.46, 1,595.97 and 684.50 is: 944.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.46 : 1,595.97 = 684.50 : x
  2. Step 2: Convert to fraction form
    1,156.46/1,595.97 = 684.50/x
  3. Step 3: Cross multiply
    1,156.46x = 1,595.97 × 684.50
  4. Step 4: Simplify right side
    1,156.46x = 1,092,433.49
  5. Step 5: Solve for x
    x = 1,092,433.49/1,156.46
  6. Step 6: Final answer
    x = 944.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.