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Finding the Fourth Proportional to 947.91, 1,420.04 and 535.79

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Solution

The fourth proportional to 947.91, 1,420.04 and 535.79 is: 802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.91 : 1,420.04 = 535.79 : x
  2. Step 2: Convert to fraction form
    947.91/1,420.04 = 535.79/x
  3. Step 3: Cross multiply
    947.91x = 1,420.04 × 535.79
  4. Step 4: Simplify right side
    947.91x = 760,833.45
  5. Step 5: Solve for x
    x = 760,833.45/947.91
  6. Step 6: Final answer
    x = 802.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.