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Finding the Fourth Proportional to 1,101.16, 1,519.34 and 653.06

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Solution

The fourth proportional to 1,101.16, 1,519.34 and 653.06 is: 901.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.16 : 1,519.34 = 653.06 : x
  2. Step 2: Convert to fraction form
    1,101.16/1,519.34 = 653.06/x
  3. Step 3: Cross multiply
    1,101.16x = 1,519.34 × 653.06
  4. Step 4: Simplify right side
    1,101.16x = 992,220.18
  5. Step 5: Solve for x
    x = 992,220.18/1,101.16
  6. Step 6: Final answer
    x = 901.07

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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.