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Finding the Fourth Proportional to 909.59, 1,252.08 and 785.66

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Solution

The fourth proportional to 909.59, 1,252.08 and 785.66 is: 1,081.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.59 : 1,252.08 = 785.66 : x
  2. Step 2: Convert to fraction form
    909.59/1,252.08 = 785.66/x
  3. Step 3: Cross multiply
    909.59x = 1,252.08 × 785.66
  4. Step 4: Simplify right side
    909.59x = 983,709.17
  5. Step 5: Solve for x
    x = 983,709.17/909.59
  6. Step 6: Final answer
    x = 1,081.49

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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.