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Finding the Fourth Proportional to 1,152.36, 1,727.54 and 421.46

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Solution

The fourth proportional to 1,152.36, 1,727.54 and 421.46 is: 631.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.36 : 1,727.54 = 421.46 : x
  2. Step 2: Convert to fraction form
    1,152.36/1,727.54 = 421.46/x
  3. Step 3: Cross multiply
    1,152.36x = 1,727.54 × 421.46
  4. Step 4: Simplify right side
    1,152.36x = 728,089.01
  5. Step 5: Solve for x
    x = 728,089.01/1,152.36
  6. Step 6: Final answer
    x = 631.82

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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.