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Finding the Fourth Proportional to 698.14, 1,047.03 and 332.83

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Solution

The fourth proportional to 698.14, 1,047.03 and 332.83 is: 499.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.14 : 1,047.03 = 332.83 : x
  2. Step 2: Convert to fraction form
    698.14/1,047.03 = 332.83/x
  3. Step 3: Cross multiply
    698.14x = 1,047.03 × 332.83
  4. Step 4: Simplify right side
    698.14x = 348,482.99
  5. Step 5: Solve for x
    x = 348,482.99/698.14
  6. Step 6: Final answer
    x = 499.16

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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.