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Finding the Fourth Proportional to 784.84, 1,083.11 and 470.04

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Solution

The fourth proportional to 784.84, 1,083.11 and 470.04 is: 648.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.84 : 1,083.11 = 470.04 : x
  2. Step 2: Convert to fraction form
    784.84/1,083.11 = 470.04/x
  3. Step 3: Cross multiply
    784.84x = 1,083.11 × 470.04
  4. Step 4: Simplify right side
    784.84x = 509,102.50
  5. Step 5: Solve for x
    x = 509,102.50/784.84
  6. Step 6: Final answer
    x = 648.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.