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Finding the Fourth Proportional to 1,170.14, 1,753.77 and 592.70

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Solution

The fourth proportional to 1,170.14, 1,753.77 and 592.70 is: 888.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.14 : 1,753.77 = 592.70 : x
  2. Step 2: Convert to fraction form
    1,170.14/1,753.77 = 592.70/x
  3. Step 3: Cross multiply
    1,170.14x = 1,753.77 × 592.70
  4. Step 4: Simplify right side
    1,170.14x = 1,039,459.48
  5. Step 5: Solve for x
    x = 1,039,459.48/1,170.14
  6. Step 6: Final answer
    x = 888.32

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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.