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Finding the Fourth Proportional to 1,484.60, 2,226.86 and 860.83

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Solution

The fourth proportional to 1,484.60, 2,226.86 and 860.83 is: 1,291.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.60 : 2,226.86 = 860.83 : x
  2. Step 2: Convert to fraction form
    1,484.60/2,226.86 = 860.83/x
  3. Step 3: Cross multiply
    1,484.60x = 2,226.86 × 860.83
  4. Step 4: Simplify right side
    1,484.60x = 1,916,946.09
  5. Step 5: Solve for x
    x = 1,916,946.09/1,484.60
  6. Step 6: Final answer
    x = 1,291.22

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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.