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Finding the Fourth Proportional to 830.79, 1,146.24 and 499.14

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Solution

The fourth proportional to 830.79, 1,146.24 and 499.14 is: 688.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.79 : 1,146.24 = 499.14 : x
  2. Step 2: Convert to fraction form
    830.79/1,146.24 = 499.14/x
  3. Step 3: Cross multiply
    830.79x = 1,146.24 × 499.14
  4. Step 4: Simplify right side
    830.79x = 572,134.23
  5. Step 5: Solve for x
    x = 572,134.23/830.79
  6. Step 6: Final answer
    x = 688.66

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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.