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Finding the Fourth Proportional to 954.55, 1,430.68 and 466.48

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Solution

The fourth proportional to 954.55, 1,430.68 and 466.48 is: 699.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.55 : 1,430.68 = 466.48 : x
  2. Step 2: Convert to fraction form
    954.55/1,430.68 = 466.48/x
  3. Step 3: Cross multiply
    954.55x = 1,430.68 × 466.48
  4. Step 4: Simplify right side
    954.55x = 667,383.61
  5. Step 5: Solve for x
    x = 667,383.61/954.55
  6. Step 6: Final answer
    x = 699.16

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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.