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Finding the Fourth Proportional to 1,210.21, 1,816.22 and 561.40

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Solution

The fourth proportional to 1,210.21, 1,816.22 and 561.40 is: 842.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.21 : 1,816.22 = 561.40 : x
  2. Step 2: Convert to fraction form
    1,210.21/1,816.22 = 561.40/x
  3. Step 3: Cross multiply
    1,210.21x = 1,816.22 × 561.40
  4. Step 4: Simplify right side
    1,210.21x = 1,019,622.77
  5. Step 5: Solve for x
    x = 1,019,622.77/1,210.21
  6. Step 6: Final answer
    x = 842.52

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Half scale
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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.