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Finding the Fourth Proportional to 1,153.90, 1,731.02 and 606.12

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Solution

The fourth proportional to 1,153.90, 1,731.02 and 606.12 is: 909.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.90 : 1,731.02 = 606.12 : x
  2. Step 2: Convert to fraction form
    1,153.90/1,731.02 = 606.12/x
  3. Step 3: Cross multiply
    1,153.90x = 1,731.02 × 606.12
  4. Step 4: Simplify right side
    1,153.90x = 1,049,205.84
  5. Step 5: Solve for x
    x = 1,049,205.84/1,153.90
  6. Step 6: Final answer
    x = 909.27

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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.