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Finding the Fourth Proportional to 1,407.66, 2,111.60 and 434.44

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Solution

The fourth proportional to 1,407.66, 2,111.60 and 434.44 is: 651.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.66 : 2,111.60 = 434.44 : x
  2. Step 2: Convert to fraction form
    1,407.66/2,111.60 = 434.44/x
  3. Step 3: Cross multiply
    1,407.66x = 2,111.60 × 434.44
  4. Step 4: Simplify right side
    1,407.66x = 917,363.50
  5. Step 5: Solve for x
    x = 917,363.50/1,407.66
  6. Step 6: Final answer
    x = 651.69

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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.