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Finding the Fourth Proportional to 985.59, 1,478.97 and 569.66

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Solution

The fourth proportional to 985.59, 1,478.97 and 569.66 is: 854.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.59 : 1,478.97 = 569.66 : x
  2. Step 2: Convert to fraction form
    985.59/1,478.97 = 569.66/x
  3. Step 3: Cross multiply
    985.59x = 1,478.97 × 569.66
  4. Step 4: Simplify right side
    985.59x = 842,502.66
  5. Step 5: Solve for x
    x = 842,502.66/985.59
  6. Step 6: Final answer
    x = 854.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.