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Finding the Fourth Proportional to 992.84, 1,370.19 and 594.52

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Solution

The fourth proportional to 992.84, 1,370.19 and 594.52 is: 820.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.84 : 1,370.19 = 594.52 : x
  2. Step 2: Convert to fraction form
    992.84/1,370.19 = 594.52/x
  3. Step 3: Cross multiply
    992.84x = 1,370.19 × 594.52
  4. Step 4: Simplify right side
    992.84x = 814,598.51
  5. Step 5: Solve for x
    x = 814,598.51/992.84
  6. Step 6: Final answer
    x = 820.47

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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.