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Finding the Fourth Proportional to 970.63, 1,455.91 and 477.41

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Solution

The fourth proportional to 970.63, 1,455.91 and 477.41 is: 716.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.63 : 1,455.91 = 477.41 : x
  2. Step 2: Convert to fraction form
    970.63/1,455.91 = 477.41/x
  3. Step 3: Cross multiply
    970.63x = 1,455.91 × 477.41
  4. Step 4: Simplify right side
    970.63x = 695,057.52
  5. Step 5: Solve for x
    x = 695,057.52/970.63
  6. Step 6: Final answer
    x = 716.09

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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.