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Finding the Fourth Proportional to 1,071.01, 1,606.52 and 291.08

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Solution

The fourth proportional to 1,071.01, 1,606.52 and 291.08 is: 436.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.01 : 1,606.52 = 291.08 : x
  2. Step 2: Convert to fraction form
    1,071.01/1,606.52 = 291.08/x
  3. Step 3: Cross multiply
    1,071.01x = 1,606.52 × 291.08
  4. Step 4: Simplify right side
    1,071.01x = 467,625.84
  5. Step 5: Solve for x
    x = 467,625.84/1,071.01
  6. Step 6: Final answer
    x = 436.62

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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.