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Finding the Fourth Proportional to 970.04, 1,454.72 and 422.09

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Solution

The fourth proportional to 970.04, 1,454.72 and 422.09 is: 632.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.04 : 1,454.72 = 422.09 : x
  2. Step 2: Convert to fraction form
    970.04/1,454.72 = 422.09/x
  3. Step 3: Cross multiply
    970.04x = 1,454.72 × 422.09
  4. Step 4: Simplify right side
    970.04x = 614,024.29
  5. Step 5: Solve for x
    x = 614,024.29/970.04
  6. Step 6: Final answer
    x = 632.99

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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.