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Finding the Fourth Proportional to 713.58, 1,071.04 and 470.26

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Solution

The fourth proportional to 713.58, 1,071.04 and 470.26 is: 705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.58 : 1,071.04 = 470.26 : x
  2. Step 2: Convert to fraction form
    713.58/1,071.04 = 470.26/x
  3. Step 3: Cross multiply
    713.58x = 1,071.04 × 470.26
  4. Step 4: Simplify right side
    713.58x = 503,667.27
  5. Step 5: Solve for x
    x = 503,667.27/713.58
  6. Step 6: Final answer
    x = 705.83

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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.