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Finding the Fourth Proportional to 1,062.66, 1,594.19 and 413.35

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Solution

The fourth proportional to 1,062.66, 1,594.19 and 413.35 is: 620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.66 : 1,594.19 = 413.35 : x
  2. Step 2: Convert to fraction form
    1,062.66/1,594.19 = 413.35/x
  3. Step 3: Cross multiply
    1,062.66x = 1,594.19 × 413.35
  4. Step 4: Simplify right side
    1,062.66x = 658,955.48
  5. Step 5: Solve for x
    x = 658,955.48/1,062.66
  6. Step 6: Final answer
    x = 620.10

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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.