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Finding the Fourth Proportional to 1,025.04, 1,413.08 and 730.20

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Solution

The fourth proportional to 1,025.04, 1,413.08 and 730.20 is: 1,006.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.04 : 1,413.08 = 730.20 : x
  2. Step 2: Convert to fraction form
    1,025.04/1,413.08 = 730.20/x
  3. Step 3: Cross multiply
    1,025.04x = 1,413.08 × 730.20
  4. Step 4: Simplify right side
    1,025.04x = 1,031,831.02
  5. Step 5: Solve for x
    x = 1,031,831.02/1,025.04
  6. Step 6: Final answer
    x = 1,006.63

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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.