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Finding the Fourth Proportional to 1,027.22, 1,533.35 and 951.08

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Solution

The fourth proportional to 1,027.22, 1,533.35 and 951.08 is: 1,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.22 : 1,533.35 = 951.08 : x
  2. Step 2: Convert to fraction form
    1,027.22/1,533.35 = 951.08/x
  3. Step 3: Cross multiply
    1,027.22x = 1,533.35 × 951.08
  4. Step 4: Simplify right side
    1,027.22x = 1,458,333.23
  5. Step 5: Solve for x
    x = 1,458,333.23/1,027.22
  6. Step 6: Final answer
    x = 1,419.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.