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Finding the Fourth Proportional to 807.54, 1,210.83 and 442.23

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Solution

The fourth proportional to 807.54, 1,210.83 and 442.23 is: 663.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.54 : 1,210.83 = 442.23 : x
  2. Step 2: Convert to fraction form
    807.54/1,210.83 = 442.23/x
  3. Step 3: Cross multiply
    807.54x = 1,210.83 × 442.23
  4. Step 4: Simplify right side
    807.54x = 535,465.35
  5. Step 5: Solve for x
    x = 535,465.35/807.54
  6. Step 6: Final answer
    x = 663.08

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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.