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Finding the Fourth Proportional to 1,039.23, 1,433.51 and 666.08

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Solution

The fourth proportional to 1,039.23, 1,433.51 and 666.08 is: 918.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.23 : 1,433.51 = 666.08 : x
  2. Step 2: Convert to fraction form
    1,039.23/1,433.51 = 666.08/x
  3. Step 3: Cross multiply
    1,039.23x = 1,433.51 × 666.08
  4. Step 4: Simplify right side
    1,039.23x = 954,832.34
  5. Step 5: Solve for x
    x = 954,832.34/1,039.23
  6. Step 6: Final answer
    x = 918.79

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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.