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Finding the Fourth Proportional to 1,089.07, 1,502.93 and 646.96

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Solution

The fourth proportional to 1,089.07, 1,502.93 and 646.96 is: 892.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.07 : 1,502.93 = 646.96 : x
  2. Step 2: Convert to fraction form
    1,089.07/1,502.93 = 646.96/x
  3. Step 3: Cross multiply
    1,089.07x = 1,502.93 × 646.96
  4. Step 4: Simplify right side
    1,089.07x = 972,335.59
  5. Step 5: Solve for x
    x = 972,335.59/1,089.07
  6. Step 6: Final answer
    x = 892.81

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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.