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Finding the Fourth Proportional to 1,560.80, 2,153.94 and 852.64

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Solution

The fourth proportional to 1,560.80, 2,153.94 and 852.64 is: 1,176.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.80 : 2,153.94 = 852.64 : x
  2. Step 2: Convert to fraction form
    1,560.80/2,153.94 = 852.64/x
  3. Step 3: Cross multiply
    1,560.80x = 2,153.94 × 852.64
  4. Step 4: Simplify right side
    1,560.80x = 1,836,535.40
  5. Step 5: Solve for x
    x = 1,836,535.40/1,560.80
  6. Step 6: Final answer
    x = 1,176.66

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1.5x scale

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.