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Finding the Fourth Proportional to 1,524.77, 2,287.76 and 647.47

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Solution

The fourth proportional to 1,524.77, 2,287.76 and 647.47 is: 971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.77 : 2,287.76 = 647.47 : x
  2. Step 2: Convert to fraction form
    1,524.77/2,287.76 = 647.47/x
  3. Step 3: Cross multiply
    1,524.77x = 2,287.76 × 647.47
  4. Step 4: Simplify right side
    1,524.77x = 1,481,241.29
  5. Step 5: Solve for x
    x = 1,481,241.29/1,524.77
  6. Step 6: Final answer
    x = 971.45

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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.