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Finding the Fourth Proportional to 970.12, 1,454.94 and 286.12

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Solution

The fourth proportional to 970.12, 1,454.94 and 286.12 is: 429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.12 : 1,454.94 = 286.12 : x
  2. Step 2: Convert to fraction form
    970.12/1,454.94 = 286.12/x
  3. Step 3: Cross multiply
    970.12x = 1,454.94 × 286.12
  4. Step 4: Simplify right side
    970.12x = 416,287.43
  5. Step 5: Solve for x
    x = 416,287.43/970.12
  6. Step 6: Final answer
    x = 429.11

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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.