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Finding the Fourth Proportional to 1,167.56, 1,746.56 and 1,064.93

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Solution

The fourth proportional to 1,167.56, 1,746.56 and 1,064.93 is: 1,593.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.56 : 1,746.56 = 1,064.93 : x
  2. Step 2: Convert to fraction form
    1,167.56/1,746.56 = 1,064.93/x
  3. Step 3: Cross multiply
    1,167.56x = 1,746.56 × 1,064.93
  4. Step 4: Simplify right side
    1,167.56x = 1,859,965.84
  5. Step 5: Solve for x
    x = 1,859,965.84/1,167.56
  6. Step 6: Final answer
    x = 1,593.03

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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.