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Finding the Fourth Proportional to 1,130.84, 1,698.18 and 1,082.24

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Solution

The fourth proportional to 1,130.84, 1,698.18 and 1,082.24 is: 1,625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.84 : 1,698.18 = 1,082.24 : x
  2. Step 2: Convert to fraction form
    1,130.84/1,698.18 = 1,082.24/x
  3. Step 3: Cross multiply
    1,130.84x = 1,698.18 × 1,082.24
  4. Step 4: Simplify right side
    1,130.84x = 1,837,838.32
  5. Step 5: Solve for x
    x = 1,837,838.32/1,130.84
  6. Step 6: Final answer
    x = 1,625.20

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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.