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Finding the Fourth Proportional to 786.95, 1,085.97 and 432.88

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Solution

The fourth proportional to 786.95, 1,085.97 and 432.88 is: 597.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.95 : 1,085.97 = 432.88 : x
  2. Step 2: Convert to fraction form
    786.95/1,085.97 = 432.88/x
  3. Step 3: Cross multiply
    786.95x = 1,085.97 × 432.88
  4. Step 4: Simplify right side
    786.95x = 470,094.69
  5. Step 5: Solve for x
    x = 470,094.69/786.95
  6. Step 6: Final answer
    x = 597.36

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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.