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Finding the Fourth Proportional to 1,574.63, 2,362.23 and 649.68

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Solution

The fourth proportional to 1,574.63, 2,362.23 and 649.68 is: 974.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.63 : 2,362.23 = 649.68 : x
  2. Step 2: Convert to fraction form
    1,574.63/2,362.23 = 649.68/x
  3. Step 3: Cross multiply
    1,574.63x = 2,362.23 × 649.68
  4. Step 4: Simplify right side
    1,574.63x = 1,534,693.59
  5. Step 5: Solve for x
    x = 1,534,693.59/1,574.63
  6. Step 6: Final answer
    x = 974.64

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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.