Home / 1,154.04-1,731.12-288.36

Finding the Fourth Proportional to 1,154.04, 1,731.12 and 288.36

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Solution

The fourth proportional to 1,154.04, 1,731.12 and 288.36 is: 432.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.04 : 1,731.12 = 288.36 : x
  2. Step 2: Convert to fraction form
    1,154.04/1,731.12 = 288.36/x
  3. Step 3: Cross multiply
    1,154.04x = 1,731.12 × 288.36
  4. Step 4: Simplify right side
    1,154.04x = 499,185.76
  5. Step 5: Solve for x
    x = 499,185.76/1,154.04
  6. Step 6: Final answer
    x = 432.55

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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.