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Finding the Fourth Proportional to 1,156.84, 1,733.82 and 539.74

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Solution

The fourth proportional to 1,156.84, 1,733.82 and 539.74 is: 808.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.84 : 1,733.82 = 539.74 : x
  2. Step 2: Convert to fraction form
    1,156.84/1,733.82 = 539.74/x
  3. Step 3: Cross multiply
    1,156.84x = 1,733.82 × 539.74
  4. Step 4: Simplify right side
    1,156.84x = 935,812.01
  5. Step 5: Solve for x
    x = 935,812.01/1,156.84
  6. Step 6: Final answer
    x = 808.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.