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Finding the Fourth Proportional to 947.50, 1,307.63 and 574.57

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Solution

The fourth proportional to 947.50, 1,307.63 and 574.57 is: 792.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.50 : 1,307.63 = 574.57 : x
  2. Step 2: Convert to fraction form
    947.50/1,307.63 = 574.57/x
  3. Step 3: Cross multiply
    947.50x = 1,307.63 × 574.57
  4. Step 4: Simplify right side
    947.50x = 751,328.04
  5. Step 5: Solve for x
    x = 751,328.04/947.50
  6. Step 6: Final answer
    x = 792.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.