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Finding the Fourth Proportional to 1,071.43, 1,607.43 and 340.99

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Solution

The fourth proportional to 1,071.43, 1,607.43 and 340.99 is: 511.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.43 : 1,607.43 = 340.99 : x
  2. Step 2: Convert to fraction form
    1,071.43/1,607.43 = 340.99/x
  3. Step 3: Cross multiply
    1,071.43x = 1,607.43 × 340.99
  4. Step 4: Simplify right side
    1,071.43x = 548,117.56
  5. Step 5: Solve for x
    x = 548,117.56/1,071.43
  6. Step 6: Final answer
    x = 511.58

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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.