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Finding the Fourth Proportional to 954.81, 1,430.60 and 376.47

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Solution

The fourth proportional to 954.81, 1,430.60 and 376.47 is: 564.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.81 : 1,430.60 = 376.47 : x
  2. Step 2: Convert to fraction form
    954.81/1,430.60 = 376.47/x
  3. Step 3: Cross multiply
    954.81x = 1,430.60 × 376.47
  4. Step 4: Simplify right side
    954.81x = 538,576.10
  5. Step 5: Solve for x
    x = 538,576.10/954.81
  6. Step 6: Final answer
    x = 564.07

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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.