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Finding the Fourth Proportional to 1,420.23, 2,129.83 and 870.74

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Solution

The fourth proportional to 1,420.23, 2,129.83 and 870.74 is: 1,305.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.23 : 2,129.83 = 870.74 : x
  2. Step 2: Convert to fraction form
    1,420.23/2,129.83 = 870.74/x
  3. Step 3: Cross multiply
    1,420.23x = 2,129.83 × 870.74
  4. Step 4: Simplify right side
    1,420.23x = 1,854,528.17
  5. Step 5: Solve for x
    x = 1,854,528.17/1,420.23
  6. Step 6: Final answer
    x = 1,305.79

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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.