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Finding the Fourth Proportional to 1,659.07, 2,488.80 and 564.22

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Solution

The fourth proportional to 1,659.07, 2,488.80 and 564.22 is: 846.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.07 : 2,488.80 = 564.22 : x
  2. Step 2: Convert to fraction form
    1,659.07/2,488.80 = 564.22/x
  3. Step 3: Cross multiply
    1,659.07x = 2,488.80 × 564.22
  4. Step 4: Simplify right side
    1,659.07x = 1,404,230.74
  5. Step 5: Solve for x
    x = 1,404,230.74/1,659.07
  6. Step 6: Final answer
    x = 846.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.