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Finding the Fourth Proportional to 1,323.88, 1,984.16 and 837.07

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Solution

The fourth proportional to 1,323.88, 1,984.16 and 837.07 is: 1,254.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.88 : 1,984.16 = 837.07 : x
  2. Step 2: Convert to fraction form
    1,323.88/1,984.16 = 837.07/x
  3. Step 3: Cross multiply
    1,323.88x = 1,984.16 × 837.07
  4. Step 4: Simplify right side
    1,323.88x = 1,660,877.94
  5. Step 5: Solve for x
    x = 1,660,877.94/1,323.88
  6. Step 6: Final answer
    x = 1,254.56

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1.5x scale

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.