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Finding the Fourth Proportional to 992.70, 1,369.98 and 573.05

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Solution

The fourth proportional to 992.70, 1,369.98 and 573.05 is: 790.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.70 : 1,369.98 = 573.05 : x
  2. Step 2: Convert to fraction form
    992.70/1,369.98 = 573.05/x
  3. Step 3: Cross multiply
    992.70x = 1,369.98 × 573.05
  4. Step 4: Simplify right side
    992.70x = 785,070.46
  5. Step 5: Solve for x
    x = 785,070.46/992.70
  6. Step 6: Final answer
    x = 790.84

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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.