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Finding the Fourth Proportional to 1,029.31, 1,543.06 and 413.53

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Solution

The fourth proportional to 1,029.31, 1,543.06 and 413.53 is: 619.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.31 : 1,543.06 = 413.53 : x
  2. Step 2: Convert to fraction form
    1,029.31/1,543.06 = 413.53/x
  3. Step 3: Cross multiply
    1,029.31x = 1,543.06 × 413.53
  4. Step 4: Simplify right side
    1,029.31x = 638,101.60
  5. Step 5: Solve for x
    x = 638,101.60/1,029.31
  6. Step 6: Final answer
    x = 619.93

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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.