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Finding the Fourth Proportional to 1,574.78, 2,362.17 and 420.50

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Solution

The fourth proportional to 1,574.78, 2,362.17 and 420.50 is: 630.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.78 : 2,362.17 = 420.50 : x
  2. Step 2: Convert to fraction form
    1,574.78/2,362.17 = 420.50/x
  3. Step 3: Cross multiply
    1,574.78x = 2,362.17 × 420.50
  4. Step 4: Simplify right side
    1,574.78x = 993,292.49
  5. Step 5: Solve for x
    x = 993,292.49/1,574.78
  6. Step 6: Final answer
    x = 630.75

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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.