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Finding the Fourth Proportional to 713.15, 1,069.76 and 405.22

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Solution

The fourth proportional to 713.15, 1,069.76 and 405.22 is: 607.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.15 : 1,069.76 = 405.22 : x
  2. Step 2: Convert to fraction form
    713.15/1,069.76 = 405.22/x
  3. Step 3: Cross multiply
    713.15x = 1,069.76 × 405.22
  4. Step 4: Simplify right side
    713.15x = 433,486.21
  5. Step 5: Solve for x
    x = 433,486.21/713.15
  6. Step 6: Final answer
    x = 607.84

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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.