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Finding the Fourth Proportional to 1,064.11, 1,595.76 and 414.76

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Solution

The fourth proportional to 1,064.11, 1,595.76 and 414.76 is: 621.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.11 : 1,595.76 = 414.76 : x
  2. Step 2: Convert to fraction form
    1,064.11/1,595.76 = 414.76/x
  3. Step 3: Cross multiply
    1,064.11x = 1,595.76 × 414.76
  4. Step 4: Simplify right side
    1,064.11x = 661,857.42
  5. Step 5: Solve for x
    x = 661,857.42/1,064.11
  6. Step 6: Final answer
    x = 621.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.