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Finding the Fourth Proportional to 1,035.32, 1,427.99 and 703.15

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Solution

The fourth proportional to 1,035.32, 1,427.99 and 703.15 is: 969.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.32 : 1,427.99 = 703.15 : x
  2. Step 2: Convert to fraction form
    1,035.32/1,427.99 = 703.15/x
  3. Step 3: Cross multiply
    1,035.32x = 1,427.99 × 703.15
  4. Step 4: Simplify right side
    1,035.32x = 1,004,084.08
  5. Step 5: Solve for x
    x = 1,004,084.08/1,035.32
  6. Step 6: Final answer
    x = 969.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.