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Finding the Fourth Proportional to 1,120.84, 1,546.50 and 655.24

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Solution

The fourth proportional to 1,120.84, 1,546.50 and 655.24 is: 904.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.84 : 1,546.50 = 655.24 : x
  2. Step 2: Convert to fraction form
    1,120.84/1,546.50 = 655.24/x
  3. Step 3: Cross multiply
    1,120.84x = 1,546.50 × 655.24
  4. Step 4: Simplify right side
    1,120.84x = 1,013,328.66
  5. Step 5: Solve for x
    x = 1,013,328.66/1,120.84
  6. Step 6: Final answer
    x = 904.08

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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.