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Finding the Fourth Proportional to 1,655.60, 2,284.77 and 909.58

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Solution

The fourth proportional to 1,655.60, 2,284.77 and 909.58 is: 1,255.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.60 : 2,284.77 = 909.58 : x
  2. Step 2: Convert to fraction form
    1,655.60/2,284.77 = 909.58/x
  3. Step 3: Cross multiply
    1,655.60x = 2,284.77 × 909.58
  4. Step 4: Simplify right side
    1,655.60x = 2,078,182.12
  5. Step 5: Solve for x
    x = 2,078,182.12/1,655.60
  6. Step 6: Final answer
    x = 1,255.24

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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.