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Finding the Fourth Proportional to 1,290.08, 1,934.04 and 878.06

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Solution

The fourth proportional to 1,290.08, 1,934.04 and 878.06 is: 1,316.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.08 : 1,934.04 = 878.06 : x
  2. Step 2: Convert to fraction form
    1,290.08/1,934.04 = 878.06/x
  3. Step 3: Cross multiply
    1,290.08x = 1,934.04 × 878.06
  4. Step 4: Simplify right side
    1,290.08x = 1,698,203.16
  5. Step 5: Solve for x
    x = 1,698,203.16/1,290.08
  6. Step 6: Final answer
    x = 1,316.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.