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Finding the Fourth Proportional to 1,156.05, 1,595.46 and 783.81

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Solution

The fourth proportional to 1,156.05, 1,595.46 and 783.81 is: 1,081.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.05 : 1,595.46 = 783.81 : x
  2. Step 2: Convert to fraction form
    1,156.05/1,595.46 = 783.81/x
  3. Step 3: Cross multiply
    1,156.05x = 1,595.46 × 783.81
  4. Step 4: Simplify right side
    1,156.05x = 1,250,537.50
  5. Step 5: Solve for x
    x = 1,250,537.50/1,156.05
  6. Step 6: Final answer
    x = 1,081.73

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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.