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Finding the Fourth Proportional to 954.67, 1,430.14 and 453.63

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Solution

The fourth proportional to 954.67, 1,430.14 and 453.63 is: 679.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.67 : 1,430.14 = 453.63 : x
  2. Step 2: Convert to fraction form
    954.67/1,430.14 = 453.63/x
  3. Step 3: Cross multiply
    954.67x = 1,430.14 × 453.63
  4. Step 4: Simplify right side
    954.67x = 648,754.55
  5. Step 5: Solve for x
    x = 648,754.55/954.67
  6. Step 6: Final answer
    x = 679.56

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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.