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Finding the Fourth Proportional to 1,106.46, 1,525.91 and 752.22

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Solution

The fourth proportional to 1,106.46, 1,525.91 and 752.22 is: 1,037.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.46 : 1,525.91 = 752.22 : x
  2. Step 2: Convert to fraction form
    1,106.46/1,525.91 = 752.22/x
  3. Step 3: Cross multiply
    1,106.46x = 1,525.91 × 752.22
  4. Step 4: Simplify right side
    1,106.46x = 1,147,816.26
  5. Step 5: Solve for x
    x = 1,147,816.26/1,106.46
  6. Step 6: Final answer
    x = 1,037.38

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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.