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Finding the Fourth Proportional to 1,330.98, 1,836.80 and 771.50

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Solution

The fourth proportional to 1,330.98, 1,836.80 and 771.50 is: 1,064.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.98 : 1,836.80 = 771.50 : x
  2. Step 2: Convert to fraction form
    1,330.98/1,836.80 = 771.50/x
  3. Step 3: Cross multiply
    1,330.98x = 1,836.80 × 771.50
  4. Step 4: Simplify right side
    1,330.98x = 1,417,078.16
  5. Step 5: Solve for x
    x = 1,417,078.16/1,330.98
  6. Step 6: Final answer
    x = 1,064.69

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