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Finding the Fourth Proportional to 963.95, 1,329.75 and 570.29

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Solution

The fourth proportional to 963.95, 1,329.75 and 570.29 is: 786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.95 : 1,329.75 = 570.29 : x
  2. Step 2: Convert to fraction form
    963.95/1,329.75 = 570.29/x
  3. Step 3: Cross multiply
    963.95x = 1,329.75 × 570.29
  4. Step 4: Simplify right side
    963.95x = 758,343.13
  5. Step 5: Solve for x
    x = 758,343.13/963.95
  6. Step 6: Final answer
    x = 786.70

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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.