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Finding the Fourth Proportional to 709.40, 1,064.03 and 479.77

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Solution

The fourth proportional to 709.40, 1,064.03 and 479.77 is: 719.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.40 : 1,064.03 = 479.77 : x
  2. Step 2: Convert to fraction form
    709.40/1,064.03 = 479.77/x
  3. Step 3: Cross multiply
    709.40x = 1,064.03 × 479.77
  4. Step 4: Simplify right side
    709.40x = 510,488.21
  5. Step 5: Solve for x
    x = 510,488.21/709.40
  6. Step 6: Final answer
    x = 719.60

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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.