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Finding the Fourth Proportional to 830.45, 1,146.12 and 499.06

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Solution

The fourth proportional to 830.45, 1,146.12 and 499.06 is: 688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.45 : 1,146.12 = 499.06 : x
  2. Step 2: Convert to fraction form
    830.45/1,146.12 = 499.06/x
  3. Step 3: Cross multiply
    830.45x = 1,146.12 × 499.06
  4. Step 4: Simplify right side
    830.45x = 571,982.21
  5. Step 5: Solve for x
    x = 571,982.21/830.45
  6. Step 6: Final answer
    x = 688.76

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1.5x scale

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.