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Finding the Fourth Proportional to 712.76, 1,070.04 and 479.99

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Solution

The fourth proportional to 712.76, 1,070.04 and 479.99 is: 720.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.76 : 1,070.04 = 479.99 : x
  2. Step 2: Convert to fraction form
    712.76/1,070.04 = 479.99/x
  3. Step 3: Cross multiply
    712.76x = 1,070.04 × 479.99
  4. Step 4: Simplify right side
    712.76x = 513,603.15
  5. Step 5: Solve for x
    x = 513,603.15/712.76
  6. Step 6: Final answer
    x = 720.59

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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.