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Finding the Fourth Proportional to 970.19, 1,455.29 and 825.61

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Solution

The fourth proportional to 970.19, 1,455.29 and 825.61 is: 1,238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.19 : 1,455.29 = 825.61 : x
  2. Step 2: Convert to fraction form
    970.19/1,455.29 = 825.61/x
  3. Step 3: Cross multiply
    970.19x = 1,455.29 × 825.61
  4. Step 4: Simplify right side
    970.19x = 1,201,501.98
  5. Step 5: Solve for x
    x = 1,201,501.98/970.19
  6. Step 6: Final answer
    x = 1,238.42

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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.