Home / 1,071.20-1,477.36-946.96

Finding the Fourth Proportional to 1,071.20, 1,477.36 and 946.96

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Solution

The fourth proportional to 1,071.20, 1,477.36 and 946.96 is: 1,306.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.20 : 1,477.36 = 946.96 : x
  2. Step 2: Convert to fraction form
    1,071.20/1,477.36 = 946.96/x
  3. Step 3: Cross multiply
    1,071.20x = 1,477.36 × 946.96
  4. Step 4: Simplify right side
    1,071.20x = 1,399,000.83
  5. Step 5: Solve for x
    x = 1,399,000.83/1,071.20
  6. Step 6: Final answer
    x = 1,306.01

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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.