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Finding the Fourth Proportional to 813.84, 1,123.18 and 534.30

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Solution

The fourth proportional to 813.84, 1,123.18 and 534.30 is: 737.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.84 : 1,123.18 = 534.30 : x
  2. Step 2: Convert to fraction form
    813.84/1,123.18 = 534.30/x
  3. Step 3: Cross multiply
    813.84x = 1,123.18 × 534.30
  4. Step 4: Simplify right side
    813.84x = 600,109.46
  5. Step 5: Solve for x
    x = 600,109.46/813.84
  6. Step 6: Final answer
    x = 737.38

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Double scale
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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.