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Finding the Fourth Proportional to 1,320.94, 1,822.87 and 731.47

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Solution

The fourth proportional to 1,320.94, 1,822.87 and 731.47 is: 1,009.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.94 : 1,822.87 = 731.47 : x
  2. Step 2: Convert to fraction form
    1,320.94/1,822.87 = 731.47/x
  3. Step 3: Cross multiply
    1,320.94x = 1,822.87 × 731.47
  4. Step 4: Simplify right side
    1,320.94x = 1,333,374.72
  5. Step 5: Solve for x
    x = 1,333,374.72/1,320.94
  6. Step 6: Final answer
    x = 1,009.41

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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.