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Finding the Fourth Proportional to 1,024.40, 1,413.59 and 664.85

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Solution

The fourth proportional to 1,024.40, 1,413.59 and 664.85 is: 917.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.40 : 1,413.59 = 664.85 : x
  2. Step 2: Convert to fraction form
    1,024.40/1,413.59 = 664.85/x
  3. Step 3: Cross multiply
    1,024.40x = 1,413.59 × 664.85
  4. Step 4: Simplify right side
    1,024.40x = 939,814.92
  5. Step 5: Solve for x
    x = 939,814.92/1,024.40
  6. Step 6: Final answer
    x = 917.43

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1.5x scale

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.