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Finding the Fourth Proportional to 1,154.76, 1,732.10 and 289.06

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Solution

The fourth proportional to 1,154.76, 1,732.10 and 289.06 is: 433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.76 : 1,732.10 = 289.06 : x
  2. Step 2: Convert to fraction form
    1,154.76/1,732.10 = 289.06/x
  3. Step 3: Cross multiply
    1,154.76x = 1,732.10 × 289.06
  4. Step 4: Simplify right side
    1,154.76x = 500,680.83
  5. Step 5: Solve for x
    x = 500,680.83/1,154.76
  6. Step 6: Final answer
    x = 433.58

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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.