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Finding the Fourth Proportional to 1,071.42, 1,607.42 and 455.16

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Solution

The fourth proportional to 1,071.42, 1,607.42 and 455.16 is: 682.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.42 : 1,607.42 = 455.16 : x
  2. Step 2: Convert to fraction form
    1,071.42/1,607.42 = 455.16/x
  3. Step 3: Cross multiply
    1,071.42x = 1,607.42 × 455.16
  4. Step 4: Simplify right side
    1,071.42x = 731,633.29
  5. Step 5: Solve for x
    x = 731,633.29/1,071.42
  6. Step 6: Final answer
    x = 682.86

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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.