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Finding the Fourth Proportional to 1,134.77, 1,566.06 and 662.63

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Solution

The fourth proportional to 1,134.77, 1,566.06 and 662.63 is: 914.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.77 : 1,566.06 = 662.63 : x
  2. Step 2: Convert to fraction form
    1,134.77/1,566.06 = 662.63/x
  3. Step 3: Cross multiply
    1,134.77x = 1,566.06 × 662.63
  4. Step 4: Simplify right side
    1,134.77x = 1,037,718.34
  5. Step 5: Solve for x
    x = 1,037,718.34/1,134.77
  6. Step 6: Final answer
    x = 914.47

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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.