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Finding the Fourth Proportional to 1,134.16, 1,700.25 and 440.35

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Solution

The fourth proportional to 1,134.16, 1,700.25 and 440.35 is: 660.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.16 : 1,700.25 = 440.35 : x
  2. Step 2: Convert to fraction form
    1,134.16/1,700.25 = 440.35/x
  3. Step 3: Cross multiply
    1,134.16x = 1,700.25 × 440.35
  4. Step 4: Simplify right side
    1,134.16x = 748,705.09
  5. Step 5: Solve for x
    x = 748,705.09/1,134.16
  6. Step 6: Final answer
    x = 660.14

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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.