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Finding the Fourth Proportional to 786.75, 1,085.91 and 476.43

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Solution

The fourth proportional to 786.75, 1,085.91 and 476.43 is: 657.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.75 : 1,085.91 = 476.43 : x
  2. Step 2: Convert to fraction form
    786.75/1,085.91 = 476.43/x
  3. Step 3: Cross multiply
    786.75x = 1,085.91 × 476.43
  4. Step 4: Simplify right side
    786.75x = 517,360.10
  5. Step 5: Solve for x
    x = 517,360.10/786.75
  6. Step 6: Final answer
    x = 657.59

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Double scale
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1.5x scale

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.