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Finding the Fourth Proportional to 1,051.38, 1,577.75 and 474.26

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Solution

The fourth proportional to 1,051.38, 1,577.75 and 474.26 is: 711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.38 : 1,577.75 = 474.26 : x
  2. Step 2: Convert to fraction form
    1,051.38/1,577.75 = 474.26/x
  3. Step 3: Cross multiply
    1,051.38x = 1,577.75 × 474.26
  4. Step 4: Simplify right side
    1,051.38x = 748,253.45
  5. Step 5: Solve for x
    x = 748,253.45/1,051.38
  6. Step 6: Final answer
    x = 711.69

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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.