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Finding the Fourth Proportional to 852.05, 1,277.01 and 462.05

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Solution

The fourth proportional to 852.05, 1,277.01 and 462.05 is: 692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.05 : 1,277.01 = 462.05 : x
  2. Step 2: Convert to fraction form
    852.05/1,277.01 = 462.05/x
  3. Step 3: Cross multiply
    852.05x = 1,277.01 × 462.05
  4. Step 4: Simplify right side
    852.05x = 590,042.47
  5. Step 5: Solve for x
    x = 590,042.47/852.05
  6. Step 6: Final answer
    x = 692.50

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Half scale
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Double 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.