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Finding the Fourth Proportional to 1,089.05, 1,502.50 and 646.94

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Solution

The fourth proportional to 1,089.05, 1,502.50 and 646.94 is: 892.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.05 : 1,502.50 = 646.94 : x
  2. Step 2: Convert to fraction form
    1,089.05/1,502.50 = 646.94/x
  3. Step 3: Cross multiply
    1,089.05x = 1,502.50 × 646.94
  4. Step 4: Simplify right side
    1,089.05x = 972,022.25
  5. Step 5: Solve for x
    x = 972,022.25/1,089.05
  6. Step 6: Final answer
    x = 892.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.