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Finding the Fourth Proportional to 1,145.98, 1,581.47 and 622.02

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Solution

The fourth proportional to 1,145.98, 1,581.47 and 622.02 is: 858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.98 : 1,581.47 = 622.02 : x
  2. Step 2: Convert to fraction form
    1,145.98/1,581.47 = 622.02/x
  3. Step 3: Cross multiply
    1,145.98x = 1,581.47 × 622.02
  4. Step 4: Simplify right side
    1,145.98x = 983,705.97
  5. Step 5: Solve for x
    x = 983,705.97/1,145.98
  6. Step 6: Final answer
    x = 858.40

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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.