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Finding the Fourth Proportional to 991.49, 1,368.50 and 598.77

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Solution

The fourth proportional to 991.49, 1,368.50 and 598.77 is: 826.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.49 : 1,368.50 = 598.77 : x
  2. Step 2: Convert to fraction form
    991.49/1,368.50 = 598.77/x
  3. Step 3: Cross multiply
    991.49x = 1,368.50 × 598.77
  4. Step 4: Simplify right side
    991.49x = 819,413.75
  5. Step 5: Solve for x
    x = 819,413.75/991.49
  6. Step 6: Final answer
    x = 826.45

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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.