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Finding the Fourth Proportional to 804.40, 1,206.96 and 589.12

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Solution

The fourth proportional to 804.40, 1,206.96 and 589.12 is: 883.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.40 : 1,206.96 = 589.12 : x
  2. Step 2: Convert to fraction form
    804.40/1,206.96 = 589.12/x
  3. Step 3: Cross multiply
    804.40x = 1,206.96 × 589.12
  4. Step 4: Simplify right side
    804.40x = 711,044.28
  5. Step 5: Solve for x
    x = 711,044.28/804.40
  6. Step 6: Final answer
    x = 883.94

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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.