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Finding the Fourth Proportional to 992.94, 1,485.72 and 596.22

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Solution

The fourth proportional to 992.94, 1,485.72 and 596.22 is: 892.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.94 : 1,485.72 = 596.22 : x
  2. Step 2: Convert to fraction form
    992.94/1,485.72 = 596.22/x
  3. Step 3: Cross multiply
    992.94x = 1,485.72 × 596.22
  4. Step 4: Simplify right side
    992.94x = 885,815.98
  5. Step 5: Solve for x
    x = 885,815.98/992.94
  6. Step 6: Final answer
    x = 892.11

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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.