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Finding the Fourth Proportional to 1,156.45, 1,595.79 and 684.53

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Solution

The fourth proportional to 1,156.45, 1,595.79 and 684.53 is: 944.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.45 : 1,595.79 = 684.53 : x
  2. Step 2: Convert to fraction form
    1,156.45/1,595.79 = 684.53/x
  3. Step 3: Cross multiply
    1,156.45x = 1,595.79 × 684.53
  4. Step 4: Simplify right side
    1,156.45x = 1,092,366.13
  5. Step 5: Solve for x
    x = 1,092,366.13/1,156.45
  6. Step 6: Final answer
    x = 944.59

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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.