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Finding the Fourth Proportional to 1,071.43, 1,607.01 and 291.49

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Solution

The fourth proportional to 1,071.43, 1,607.01 and 291.49 is: 437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.43 : 1,607.01 = 291.49 : x
  2. Step 2: Convert to fraction form
    1,071.43/1,607.01 = 291.49/x
  3. Step 3: Cross multiply
    1,071.43x = 1,607.01 × 291.49
  4. Step 4: Simplify right side
    1,071.43x = 468,427.34
  5. Step 5: Solve for x
    x = 468,427.34/1,071.43
  6. Step 6: Final answer
    x = 437.20

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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.