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Finding the Fourth Proportional to 947.48, 1,419.16 and 459.50

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Solution

The fourth proportional to 947.48, 1,419.16 and 459.50 is: 688.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.48 : 1,419.16 = 459.50 : x
  2. Step 2: Convert to fraction form
    947.48/1,419.16 = 459.50/x
  3. Step 3: Cross multiply
    947.48x = 1,419.16 × 459.50
  4. Step 4: Simplify right side
    947.48x = 652,101.72
  5. Step 5: Solve for x
    x = 652,101.72/947.48
  6. Step 6: Final answer
    x = 688.25

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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.