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Finding the Fourth Proportional to 830.14, 1,145.40 and 498.67

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Solution

The fourth proportional to 830.14, 1,145.40 and 498.67 is: 688.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.14 : 1,145.40 = 498.67 : x
  2. Step 2: Convert to fraction form
    830.14/1,145.40 = 498.67/x
  3. Step 3: Cross multiply
    830.14x = 1,145.40 × 498.67
  4. Step 4: Simplify right side
    830.14x = 571,179.73
  5. Step 5: Solve for x
    x = 571,179.73/830.14
  6. Step 6: Final answer
    x = 688.05

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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.