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Finding the Fourth Proportional to 947.04, 1,420.52 and 288.89

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Solution

The fourth proportional to 947.04, 1,420.52 and 288.89 is: 433.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.04 : 1,420.52 = 288.89 : x
  2. Step 2: Convert to fraction form
    947.04/1,420.52 = 288.89/x
  3. Step 3: Cross multiply
    947.04x = 1,420.52 × 288.89
  4. Step 4: Simplify right side
    947.04x = 410,374.02
  5. Step 5: Solve for x
    x = 410,374.02/947.04
  6. Step 6: Final answer
    x = 433.32

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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.