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Finding the Fourth Proportional to 909.71, 1,366.07 and 565.05

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Solution

The fourth proportional to 909.71, 1,366.07 and 565.05 is: 848.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.71 : 1,366.07 = 565.05 : x
  2. Step 2: Convert to fraction form
    909.71/1,366.07 = 565.05/x
  3. Step 3: Cross multiply
    909.71x = 1,366.07 × 565.05
  4. Step 4: Simplify right side
    909.71x = 771,895.03
  5. Step 5: Solve for x
    x = 771,895.03/909.71
  6. Step 6: Final answer
    x = 848.51

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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.