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Finding the Fourth Proportional to 964.55, 1,445.01 and 477.95

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Solution

The fourth proportional to 964.55, 1,445.01 and 477.95 is: 716.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.55 : 1,445.01 = 477.95 : x
  2. Step 2: Convert to fraction form
    964.55/1,445.01 = 477.95/x
  3. Step 3: Cross multiply
    964.55x = 1,445.01 × 477.95
  4. Step 4: Simplify right side
    964.55x = 690,633.51
  5. Step 5: Solve for x
    x = 690,633.51/964.55
  6. Step 6: Final answer
    x = 716.01

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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.