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Finding the Fourth Proportional to 1,156.34, 1,595.94 and 1,086.05

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Solution

The fourth proportional to 1,156.34, 1,595.94 and 1,086.05 is: 1,498.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.34 : 1,595.94 = 1,086.05 : x
  2. Step 2: Convert to fraction form
    1,156.34/1,595.94 = 1,086.05/x
  3. Step 3: Cross multiply
    1,156.34x = 1,595.94 × 1,086.05
  4. Step 4: Simplify right side
    1,156.34x = 1,733,270.64
  5. Step 5: Solve for x
    x = 1,733,270.64/1,156.34
  6. Step 6: Final answer
    x = 1,498.93

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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.