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Finding the Fourth Proportional to 1,024.25, 1,413.42 and 576.16

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Solution

The fourth proportional to 1,024.25, 1,413.42 and 576.16 is: 795.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.25 : 1,413.42 = 576.16 : x
  2. Step 2: Convert to fraction form
    1,024.25/1,413.42 = 576.16/x
  3. Step 3: Cross multiply
    1,024.25x = 1,413.42 × 576.16
  4. Step 4: Simplify right side
    1,024.25x = 814,356.07
  5. Step 5: Solve for x
    x = 814,356.07/1,024.25
  6. Step 6: Final answer
    x = 795.08

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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.