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Finding the Fourth Proportional to 1,026.68, 1,413.86 and 973.22

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Solution

The fourth proportional to 1,026.68, 1,413.86 and 973.22 is: 1,340.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.68 : 1,413.86 = 973.22 : x
  2. Step 2: Convert to fraction form
    1,026.68/1,413.86 = 973.22/x
  3. Step 3: Cross multiply
    1,026.68x = 1,413.86 × 973.22
  4. Step 4: Simplify right side
    1,026.68x = 1,375,996.83
  5. Step 5: Solve for x
    x = 1,375,996.83/1,026.68
  6. Step 6: Final answer
    x = 1,340.24

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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.