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Finding the Fourth Proportional to 763.99, 1,054.33 and 432.47

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Solution

The fourth proportional to 763.99, 1,054.33 and 432.47 is: 596.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.99 : 1,054.33 = 432.47 : x
  2. Step 2: Convert to fraction form
    763.99/1,054.33 = 432.47/x
  3. Step 3: Cross multiply
    763.99x = 1,054.33 × 432.47
  4. Step 4: Simplify right side
    763.99x = 455,965.90
  5. Step 5: Solve for x
    x = 455,965.90/763.99
  6. Step 6: Final answer
    x = 596.82

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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.