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Finding the Fourth Proportional to 1,064.42, 1,595.89 and 756.89

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Solution

The fourth proportional to 1,064.42, 1,595.89 and 756.89 is: 1,134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.42 : 1,595.89 = 756.89 : x
  2. Step 2: Convert to fraction form
    1,064.42/1,595.89 = 756.89/x
  3. Step 3: Cross multiply
    1,064.42x = 1,595.89 × 756.89
  4. Step 4: Simplify right side
    1,064.42x = 1,207,909.40
  5. Step 5: Solve for x
    x = 1,207,909.40/1,064.42
  6. Step 6: Final answer
    x = 1,134.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.