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Finding the Fourth Proportional to 1,408, 2,111.77 and 470.95

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Solution

The fourth proportional to 1,408, 2,111.77 and 470.95 is: 706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408 : 2,111.77 = 470.95 : x
  2. Step 2: Convert to fraction form
    1,408/2,111.77 = 470.95/x
  3. Step 3: Cross multiply
    1,408x = 2,111.77 × 470.95
  4. Step 4: Simplify right side
    1,408x = 994,538.08
  5. Step 5: Solve for x
    x = 994,538.08/1,408
  6. Step 6: Final answer
    x = 706.35

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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.