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Finding the Fourth Proportional to 970.91, 1,455.60 and 661.99

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Solution

The fourth proportional to 970.91, 1,455.60 and 661.99 is: 992.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.91 : 1,455.60 = 661.99 : x
  2. Step 2: Convert to fraction form
    970.91/1,455.60 = 661.99/x
  3. Step 3: Cross multiply
    970.91x = 1,455.60 × 661.99
  4. Step 4: Simplify right side
    970.91x = 963,589.33
  5. Step 5: Solve for x
    x = 963,589.33/970.91
  6. Step 6: Final answer
    x = 992.47

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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.