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Finding the Fourth Proportional to 763.79, 1,054.02 and 432.23

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Solution

The fourth proportional to 763.79, 1,054.02 and 432.23 is: 596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.79 : 1,054.02 = 432.23 : x
  2. Step 2: Convert to fraction form
    763.79/1,054.02 = 432.23/x
  3. Step 3: Cross multiply
    763.79x = 1,054.02 × 432.23
  4. Step 4: Simplify right side
    763.79x = 455,581.70
  5. Step 5: Solve for x
    x = 455,581.70/763.79
  6. Step 6: Final answer
    x = 596.47

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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.