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Finding the Fourth Proportional to 1,497.72, 2,066.77 and 825.50

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Solution

The fourth proportional to 1,497.72, 2,066.77 and 825.50 is: 1,139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.72 : 2,066.77 = 825.50 : x
  2. Step 2: Convert to fraction form
    1,497.72/2,066.77 = 825.50/x
  3. Step 3: Cross multiply
    1,497.72x = 2,066.77 × 825.50
  4. Step 4: Simplify right side
    1,497.72x = 1,706,118.64
  5. Step 5: Solve for x
    x = 1,706,118.64/1,497.72
  6. Step 6: Final answer
    x = 1,139.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.