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Finding the Fourth Proportional to 964.95, 1,446.51 and 471.04

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Solution

The fourth proportional to 964.95, 1,446.51 and 471.04 is: 706.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.95 : 1,446.51 = 471.04 : x
  2. Step 2: Convert to fraction form
    964.95/1,446.51 = 471.04/x
  3. Step 3: Cross multiply
    964.95x = 1,446.51 × 471.04
  4. Step 4: Simplify right side
    964.95x = 681,364.07
  5. Step 5: Solve for x
    x = 681,364.07/964.95
  6. Step 6: Final answer
    x = 706.11

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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.