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Finding the Fourth Proportional to 1,101.40, 1,519.06 and 659.20

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Solution

The fourth proportional to 1,101.40, 1,519.06 and 659.20 is: 909.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.40 : 1,519.06 = 659.20 : x
  2. Step 2: Convert to fraction form
    1,101.40/1,519.06 = 659.20/x
  3. Step 3: Cross multiply
    1,101.40x = 1,519.06 × 659.20
  4. Step 4: Simplify right side
    1,101.40x = 1,001,364.35
  5. Step 5: Solve for x
    x = 1,001,364.35/1,101.40
  6. Step 6: Final answer
    x = 909.17

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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.