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Finding the Fourth Proportional to 804.99, 1,206.23 and 775.11

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Solution

The fourth proportional to 804.99, 1,206.23 and 775.11 is: 1,161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.99 : 1,206.23 = 775.11 : x
  2. Step 2: Convert to fraction form
    804.99/1,206.23 = 775.11/x
  3. Step 3: Cross multiply
    804.99x = 1,206.23 × 775.11
  4. Step 4: Simplify right side
    804.99x = 934,957.06
  5. Step 5: Solve for x
    x = 934,957.06/804.99
  6. Step 6: Final answer
    x = 1,161.45

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Double scale
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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.