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Finding the Fourth Proportional to 1,705.42, 2,557.71 and 472.54

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Solution

The fourth proportional to 1,705.42, 2,557.71 and 472.54 is: 708.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.42 : 2,557.71 = 472.54 : x
  2. Step 2: Convert to fraction form
    1,705.42/2,557.71 = 472.54/x
  3. Step 3: Cross multiply
    1,705.42x = 2,557.71 × 472.54
  4. Step 4: Simplify right side
    1,705.42x = 1,208,620.28
  5. Step 5: Solve for x
    x = 1,208,620.28/1,705.42
  6. Step 6: Final answer
    x = 708.69

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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.