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Finding the Fourth Proportional to 963.66, 1,328.55 and 652.62

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Solution

The fourth proportional to 963.66, 1,328.55 and 652.62 is: 899.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.66 : 1,328.55 = 652.62 : x
  2. Step 2: Convert to fraction form
    963.66/1,328.55 = 652.62/x
  3. Step 3: Cross multiply
    963.66x = 1,328.55 × 652.62
  4. Step 4: Simplify right side
    963.66x = 867,038.30
  5. Step 5: Solve for x
    x = 867,038.30/963.66
  6. Step 6: Final answer
    x = 899.73

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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.