Home / 1,178.23-1,767.32-288.76

Finding the Fourth Proportional to 1,178.23, 1,767.32 and 288.76

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Solution

The fourth proportional to 1,178.23, 1,767.32 and 288.76 is: 433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.23 : 1,767.32 = 288.76 : x
  2. Step 2: Convert to fraction form
    1,178.23/1,767.32 = 288.76/x
  3. Step 3: Cross multiply
    1,178.23x = 1,767.32 × 288.76
  4. Step 4: Simplify right side
    1,178.23x = 510,331.32
  5. Step 5: Solve for x
    x = 510,331.32/1,178.23
  6. Step 6: Final answer
    x = 433.14

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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.