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Finding the Fourth Proportional to 1,655.57, 2,284.87 and 909.59

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Solution

The fourth proportional to 1,655.57, 2,284.87 and 909.59 is: 1,255.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.57 : 2,284.87 = 909.59 : x
  2. Step 2: Convert to fraction form
    1,655.57/2,284.87 = 909.59/x
  3. Step 3: Cross multiply
    1,655.57x = 2,284.87 × 909.59
  4. Step 4: Simplify right side
    1,655.57x = 2,078,294.90
  5. Step 5: Solve for x
    x = 2,078,294.90/1,655.57
  6. Step 6: Final answer
    x = 1,255.34

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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.