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Finding the Fourth Proportional to 1,420.83, 2,129.36 and 804.15

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Solution

The fourth proportional to 1,420.83, 2,129.36 and 804.15 is: 1,205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.83 : 2,129.36 = 804.15 : x
  2. Step 2: Convert to fraction form
    1,420.83/2,129.36 = 804.15/x
  3. Step 3: Cross multiply
    1,420.83x = 2,129.36 × 804.15
  4. Step 4: Simplify right side
    1,420.83x = 1,712,320.82
  5. Step 5: Solve for x
    x = 1,712,320.82/1,420.83
  6. Step 6: Final answer
    x = 1,205.16

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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.