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Finding the Fourth Proportional to 1,066.35, 1,602.09 and 1,037.79

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Solution

The fourth proportional to 1,066.35, 1,602.09 and 1,037.79 is: 1,559.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.35 : 1,602.09 = 1,037.79 : x
  2. Step 2: Convert to fraction form
    1,066.35/1,602.09 = 1,037.79/x
  3. Step 3: Cross multiply
    1,066.35x = 1,602.09 × 1,037.79
  4. Step 4: Simplify right side
    1,066.35x = 1,662,632.98
  5. Step 5: Solve for x
    x = 1,662,632.98/1,066.35
  6. Step 6: Final answer
    x = 1,559.18

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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.