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Finding the Fourth Proportional to 1,151.84, 1,726.21 and 631.06

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Solution

The fourth proportional to 1,151.84, 1,726.21 and 631.06 is: 945.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.84 : 1,726.21 = 631.06 : x
  2. Step 2: Convert to fraction form
    1,151.84/1,726.21 = 631.06/x
  3. Step 3: Cross multiply
    1,151.84x = 1,726.21 × 631.06
  4. Step 4: Simplify right side
    1,151.84x = 1,089,342.08
  5. Step 5: Solve for x
    x = 1,089,342.08/1,151.84
  6. Step 6: Final answer
    x = 945.74

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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.