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Finding the Fourth Proportional to 914.04, 1,261.80 and 599.33

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Solution

The fourth proportional to 914.04, 1,261.80 and 599.33 is: 827.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.04 : 1,261.80 = 599.33 : x
  2. Step 2: Convert to fraction form
    914.04/1,261.80 = 599.33/x
  3. Step 3: Cross multiply
    914.04x = 1,261.80 × 599.33
  4. Step 4: Simplify right side
    914.04x = 756,228.29
  5. Step 5: Solve for x
    x = 756,228.29/914.04
  6. Step 6: Final answer
    x = 827.35

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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.