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Finding the Fourth Proportional to 763.75, 1,054.13 and 432.19

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Solution

The fourth proportional to 763.75, 1,054.13 and 432.19 is: 596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.75 : 1,054.13 = 432.19 : x
  2. Step 2: Convert to fraction form
    763.75/1,054.13 = 432.19/x
  3. Step 3: Cross multiply
    763.75x = 1,054.13 × 432.19
  4. Step 4: Simplify right side
    763.75x = 455,584.44
  5. Step 5: Solve for x
    x = 455,584.44/763.75
  6. Step 6: Final answer
    x = 596.51

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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.