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Finding the Fourth Proportional to 1,331.29, 1,837.01 and 771.64

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Solution

The fourth proportional to 1,331.29, 1,837.01 and 771.64 is: 1,064.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.29 : 1,837.01 = 771.64 : x
  2. Step 2: Convert to fraction form
    1,331.29/1,837.01 = 771.64/x
  3. Step 3: Cross multiply
    1,331.29x = 1,837.01 × 771.64
  4. Step 4: Simplify right side
    1,331.29x = 1,417,518.07
  5. Step 5: Solve for x
    x = 1,417,518.07/1,331.29
  6. Step 6: Final answer
    x = 1,064.77

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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.