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Finding the Fourth Proportional to 1,156.00, 1,595.57 and 713.64

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Solution

The fourth proportional to 1,156.00, 1,595.57 and 713.64 is: 985.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.00 : 1,595.57 = 713.64 : x
  2. Step 2: Convert to fraction form
    1,156.00/1,595.57 = 713.64/x
  3. Step 3: Cross multiply
    1,156.00x = 1,595.57 × 713.64
  4. Step 4: Simplify right side
    1,156.00x = 1,138,669.00
  5. Step 5: Solve for x
    x = 1,138,669.00/1,156.00
  6. Step 6: Final answer
    x = 985.01

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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.