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Finding the Fourth Proportional to 1,071.53, 1,478.84 and 599.45

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Solution

The fourth proportional to 1,071.53, 1,478.84 and 599.45 is: 827.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.53 : 1,478.84 = 599.45 : x
  2. Step 2: Convert to fraction form
    1,071.53/1,478.84 = 599.45/x
  3. Step 3: Cross multiply
    1,071.53x = 1,478.84 × 599.45
  4. Step 4: Simplify right side
    1,071.53x = 886,486.39
  5. Step 5: Solve for x
    x = 886,486.39/1,071.53
  6. Step 6: Final answer
    x = 827.31

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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.