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Finding the Fourth Proportional to 1,169.90, 1,755.16 and 390.04

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Solution

The fourth proportional to 1,169.90, 1,755.16 and 390.04 is: 585.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.90 : 1,755.16 = 390.04 : x
  2. Step 2: Convert to fraction form
    1,169.90/1,755.16 = 390.04/x
  3. Step 3: Cross multiply
    1,169.90x = 1,755.16 × 390.04
  4. Step 4: Simplify right side
    1,169.90x = 684,582.61
  5. Step 5: Solve for x
    x = 684,582.61/1,169.90
  6. Step 6: Final answer
    x = 585.16

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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.