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Finding the Fourth Proportional to 1,027.08, 1,530.86 and 968.70

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Solution

The fourth proportional to 1,027.08, 1,530.86 and 968.70 is: 1,443.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.08 : 1,530.86 = 968.70 : x
  2. Step 2: Convert to fraction form
    1,027.08/1,530.86 = 968.70/x
  3. Step 3: Cross multiply
    1,027.08x = 1,530.86 × 968.70
  4. Step 4: Simplify right side
    1,027.08x = 1,482,941.66
  5. Step 5: Solve for x
    x = 1,482,941.66/1,027.08
  6. Step 6: Final answer
    x = 1,443.85

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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.