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Finding the Fourth Proportional to 713.46, 1,071.20 and 405.93

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Solution

The fourth proportional to 713.46, 1,071.20 and 405.93 is: 609.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.46 : 1,071.20 = 405.93 : x
  2. Step 2: Convert to fraction form
    713.46/1,071.20 = 405.93/x
  3. Step 3: Cross multiply
    713.46x = 1,071.20 × 405.93
  4. Step 4: Simplify right side
    713.46x = 434,830.19
  5. Step 5: Solve for x
    x = 434,830.19/713.46
  6. Step 6: Final answer
    x = 609.47

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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.