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Finding the Fourth Proportional to 1,156.38, 1,595.67 and 684.30

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Solution

The fourth proportional to 1,156.38, 1,595.67 and 684.30 is: 944.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.38 : 1,595.67 = 684.30 : x
  2. Step 2: Convert to fraction form
    1,156.38/1,595.67 = 684.30/x
  3. Step 3: Cross multiply
    1,156.38x = 1,595.67 × 684.30
  4. Step 4: Simplify right side
    1,156.38x = 1,091,916.98
  5. Step 5: Solve for x
    x = 1,091,916.98/1,156.38
  6. Step 6: Final answer
    x = 944.25

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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.