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Finding the Fourth Proportional to 954.66, 1,429.98 and 491.02

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Solution

The fourth proportional to 954.66, 1,429.98 and 491.02 is: 735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.66 : 1,429.98 = 491.02 : x
  2. Step 2: Convert to fraction form
    954.66/1,429.98 = 491.02/x
  3. Step 3: Cross multiply
    954.66x = 1,429.98 × 491.02
  4. Step 4: Simplify right side
    954.66x = 702,148.78
  5. Step 5: Solve for x
    x = 702,148.78/954.66
  6. Step 6: Final answer
    x = 735.50

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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.