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Finding the Fourth Proportional to 1,156.31, 1,595.56 and 684.13

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Solution

The fourth proportional to 1,156.31, 1,595.56 and 684.13 is: 944.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.31 : 1,595.56 = 684.13 : x
  2. Step 2: Convert to fraction form
    1,156.31/1,595.56 = 684.13/x
  3. Step 3: Cross multiply
    1,156.31x = 1,595.56 × 684.13
  4. Step 4: Simplify right side
    1,156.31x = 1,091,570.46
  5. Step 5: Solve for x
    x = 1,091,570.46/1,156.31
  6. Step 6: Final answer
    x = 944.01

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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.