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Finding the Fourth Proportional to 786.25, 1,085.17 and 588.08

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Solution

The fourth proportional to 786.25, 1,085.17 and 588.08 is: 811.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.25 : 1,085.17 = 588.08 : x
  2. Step 2: Convert to fraction form
    786.25/1,085.17 = 588.08/x
  3. Step 3: Cross multiply
    786.25x = 1,085.17 × 588.08
  4. Step 4: Simplify right side
    786.25x = 638,166.77
  5. Step 5: Solve for x
    x = 638,166.77/786.25
  6. Step 6: Final answer
    x = 811.66

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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.