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Finding the Fourth Proportional to 1,025.14, 1,413.70 and 670.95

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Solution

The fourth proportional to 1,025.14, 1,413.70 and 670.95 is: 925.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.14 : 1,413.70 = 670.95 : x
  2. Step 2: Convert to fraction form
    1,025.14/1,413.70 = 670.95/x
  3. Step 3: Cross multiply
    1,025.14x = 1,413.70 × 670.95
  4. Step 4: Simplify right side
    1,025.14x = 948,524.11
  5. Step 5: Solve for x
    x = 948,524.11/1,025.14
  6. Step 6: Final answer
    x = 925.26

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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.