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Finding the Fourth Proportional to 970.09, 1,455.10 and 286.09

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Solution

The fourth proportional to 970.09, 1,455.10 and 286.09 is: 429.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.09 : 1,455.10 = 286.09 : x
  2. Step 2: Convert to fraction form
    970.09/1,455.10 = 286.09/x
  3. Step 3: Cross multiply
    970.09x = 1,455.10 × 286.09
  4. Step 4: Simplify right side
    970.09x = 416,289.56
  5. Step 5: Solve for x
    x = 416,289.56/970.09
  6. Step 6: Final answer
    x = 429.12

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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.