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Finding the Fourth Proportional to 963.93, 1,444.51 and 476.41

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Solution

The fourth proportional to 963.93, 1,444.51 and 476.41 is: 713.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.93 : 1,444.51 = 476.41 : x
  2. Step 2: Convert to fraction form
    963.93/1,444.51 = 476.41/x
  3. Step 3: Cross multiply
    963.93x = 1,444.51 × 476.41
  4. Step 4: Simplify right side
    963.93x = 688,176.63
  5. Step 5: Solve for x
    x = 688,176.63/963.93
  6. Step 6: Final answer
    x = 713.93

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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.