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Finding the Fourth Proportional to 1,182.92, 1,633.09 and 710.94

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Solution

The fourth proportional to 1,182.92, 1,633.09 and 710.94 is: 981.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.92 : 1,633.09 = 710.94 : x
  2. Step 2: Convert to fraction form
    1,182.92/1,633.09 = 710.94/x
  3. Step 3: Cross multiply
    1,182.92x = 1,633.09 × 710.94
  4. Step 4: Simplify right side
    1,182.92x = 1,161,017.28
  5. Step 5: Solve for x
    x = 1,161,017.28/1,182.92
  6. Step 6: Final answer
    x = 981.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.