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Finding the Fourth Proportional to 786.75, 1,085.75 and 437.46

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Solution

The fourth proportional to 786.75, 1,085.75 and 437.46 is: 603.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.75 : 1,085.75 = 437.46 : x
  2. Step 2: Convert to fraction form
    786.75/1,085.75 = 437.46/x
  3. Step 3: Cross multiply
    786.75x = 1,085.75 × 437.46
  4. Step 4: Simplify right side
    786.75x = 474,970.01
  5. Step 5: Solve for x
    x = 474,970.01/786.75
  6. Step 6: Final answer
    x = 603.71

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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.