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Finding the Fourth Proportional to 1,354.47, 1,868.78 and 856.93

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Solution

The fourth proportional to 1,354.47, 1,868.78 and 856.93 is: 1,182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.47 : 1,868.78 = 856.93 : x
  2. Step 2: Convert to fraction form
    1,354.47/1,868.78 = 856.93/x
  3. Step 3: Cross multiply
    1,354.47x = 1,868.78 × 856.93
  4. Step 4: Simplify right side
    1,354.47x = 1,601,413.65
  5. Step 5: Solve for x
    x = 1,601,413.65/1,354.47
  6. Step 6: Final answer
    x = 1,182.32

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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.