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Finding the Fourth Proportional to 947.42, 1,420.58 and 508.12

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Solution

The fourth proportional to 947.42, 1,420.58 and 508.12 is: 761.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.42 : 1,420.58 = 508.12 : x
  2. Step 2: Convert to fraction form
    947.42/1,420.58 = 508.12/x
  3. Step 3: Cross multiply
    947.42x = 1,420.58 × 508.12
  4. Step 4: Simplify right side
    947.42x = 721,825.11
  5. Step 5: Solve for x
    x = 721,825.11/947.42
  6. Step 6: Final answer
    x = 761.89

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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.