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Finding the Fourth Proportional to 1,321.01, 1,823.04 and 723.55

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Solution

The fourth proportional to 1,321.01, 1,823.04 and 723.55 is: 998.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.01 : 1,823.04 = 723.55 : x
  2. Step 2: Convert to fraction form
    1,321.01/1,823.04 = 723.55/x
  3. Step 3: Cross multiply
    1,321.01x = 1,823.04 × 723.55
  4. Step 4: Simplify right side
    1,321.01x = 1,319,060.59
  5. Step 5: Solve for x
    x = 1,319,060.59/1,321.01
  6. Step 6: Final answer
    x = 998.52

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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.