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Finding the Fourth Proportional to 1,048.86, 1,574.10 and 432.86

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Solution

The fourth proportional to 1,048.86, 1,574.10 and 432.86 is: 649.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.86 : 1,574.10 = 432.86 : x
  2. Step 2: Convert to fraction form
    1,048.86/1,574.10 = 432.86/x
  3. Step 3: Cross multiply
    1,048.86x = 1,574.10 × 432.86
  4. Step 4: Simplify right side
    1,048.86x = 681,357.06
  5. Step 5: Solve for x
    x = 681,357.06/1,048.86
  6. Step 6: Final answer
    x = 649.62

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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.