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Finding the Fourth Proportional to 964.19, 1,446.28 and 534.08

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Solution

The fourth proportional to 964.19, 1,446.28 and 534.08 is: 801.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.19 : 1,446.28 = 534.08 : x
  2. Step 2: Convert to fraction form
    964.19/1,446.28 = 534.08/x
  3. Step 3: Cross multiply
    964.19x = 1,446.28 × 534.08
  4. Step 4: Simplify right side
    964.19x = 772,431.50
  5. Step 5: Solve for x
    x = 772,431.50/964.19
  6. Step 6: Final answer
    x = 801.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.