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Finding the Fourth Proportional to 1,069.32, 1,606.50 and 933.24

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Solution

The fourth proportional to 1,069.32, 1,606.50 and 933.24 is: 1,402.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.32 : 1,606.50 = 933.24 : x
  2. Step 2: Convert to fraction form
    1,069.32/1,606.50 = 933.24/x
  3. Step 3: Cross multiply
    1,069.32x = 1,606.50 × 933.24
  4. Step 4: Simplify right side
    1,069.32x = 1,499,250.06
  5. Step 5: Solve for x
    x = 1,499,250.06/1,069.32
  6. Step 6: Final answer
    x = 1,402.06

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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.