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Finding the Fourth Proportional to 1,126.24, 1,690.00 and 476.96

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Solution

The fourth proportional to 1,126.24, 1,690.00 and 476.96 is: 715.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.24 : 1,690.00 = 476.96 : x
  2. Step 2: Convert to fraction form
    1,126.24/1,690.00 = 476.96/x
  3. Step 3: Cross multiply
    1,126.24x = 1,690.00 × 476.96
  4. Step 4: Simplify right side
    1,126.24x = 806,052.76
  5. Step 5: Solve for x
    x = 806,052.76/1,126.24
  6. Step 6: Final answer
    x = 715.70

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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.