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Finding the Fourth Proportional to 1,071.01, 1,477.96 and 598.88

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Solution

The fourth proportional to 1,071.01, 1,477.96 and 598.88 is: 826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.01 : 1,477.96 = 598.88 : x
  2. Step 2: Convert to fraction form
    1,071.01/1,477.96 = 598.88/x
  3. Step 3: Cross multiply
    1,071.01x = 1,477.96 × 598.88
  4. Step 4: Simplify right side
    1,071.01x = 885,120.68
  5. Step 5: Solve for x
    x = 885,120.68/1,071.01
  6. Step 6: Final answer
    x = 826.44

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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.