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Finding the Fourth Proportional to 813.95, 1,123.35 and 499.15

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Solution

The fourth proportional to 813.95, 1,123.35 and 499.15 is: 688.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.95 : 1,123.35 = 499.15 : x
  2. Step 2: Convert to fraction form
    813.95/1,123.35 = 499.15/x
  3. Step 3: Cross multiply
    813.95x = 1,123.35 × 499.15
  4. Step 4: Simplify right side
    813.95x = 560,714.54
  5. Step 5: Solve for x
    x = 560,714.54/813.95
  6. Step 6: Final answer
    x = 688.89

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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.