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Finding the Fourth Proportional to 1,574.69, 2,362.31 and 649.74

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Solution

The fourth proportional to 1,574.69, 2,362.31 and 649.74 is: 974.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.69 : 2,362.31 = 649.74 : x
  2. Step 2: Convert to fraction form
    1,574.69/2,362.31 = 649.74/x
  3. Step 3: Cross multiply
    1,574.69x = 2,362.31 × 649.74
  4. Step 4: Simplify right side
    1,574.69x = 1,534,887.30
  5. Step 5: Solve for x
    x = 1,534,887.30/1,574.69
  6. Step 6: Final answer
    x = 974.72

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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.