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Finding the Fourth Proportional to 1,303.44, 1,956.88 and 777.31

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Solution

The fourth proportional to 1,303.44, 1,956.88 and 777.31 is: 1,166.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.44 : 1,956.88 = 777.31 : x
  2. Step 2: Convert to fraction form
    1,303.44/1,956.88 = 777.31/x
  3. Step 3: Cross multiply
    1,303.44x = 1,956.88 × 777.31
  4. Step 4: Simplify right side
    1,303.44x = 1,521,105.11
  5. Step 5: Solve for x
    x = 1,521,105.11/1,303.44
  6. Step 6: Final answer
    x = 1,166.99

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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.