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Finding the Fourth Proportional to 1,048.20, 1,446.76 and 655.52

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Solution

The fourth proportional to 1,048.20, 1,446.76 and 655.52 is: 904.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.20 : 1,446.76 = 655.52 : x
  2. Step 2: Convert to fraction form
    1,048.20/1,446.76 = 655.52/x
  3. Step 3: Cross multiply
    1,048.20x = 1,446.76 × 655.52
  4. Step 4: Simplify right side
    1,048.20x = 948,380.12
  5. Step 5: Solve for x
    x = 948,380.12/1,048.20
  6. Step 6: Final answer
    x = 904.77

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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.