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Finding the Fourth Proportional to 966.94, 1,334.59 and 594.24

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Solution

The fourth proportional to 966.94, 1,334.59 and 594.24 is: 820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.94 : 1,334.59 = 594.24 : x
  2. Step 2: Convert to fraction form
    966.94/1,334.59 = 594.24/x
  3. Step 3: Cross multiply
    966.94x = 1,334.59 × 594.24
  4. Step 4: Simplify right side
    966.94x = 793,060.09
  5. Step 5: Solve for x
    x = 793,060.09/966.94
  6. Step 6: Final answer
    x = 820.18

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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.