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Finding the Fourth Proportional to 1,156.53, 1,596.14 and 684.57

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Solution

The fourth proportional to 1,156.53, 1,596.14 and 684.57 is: 944.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.53 : 1,596.14 = 684.57 : x
  2. Step 2: Convert to fraction form
    1,156.53/1,596.14 = 684.57/x
  3. Step 3: Cross multiply
    1,156.53x = 1,596.14 × 684.57
  4. Step 4: Simplify right side
    1,156.53x = 1,092,669.56
  5. Step 5: Solve for x
    x = 1,092,669.56/1,156.53
  6. Step 6: Final answer
    x = 944.78

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1.5x scale

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.