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Finding the Fourth Proportional to 758.93, 1,139.45 and 524.12

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Solution

The fourth proportional to 758.93, 1,139.45 and 524.12 is: 786.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.93 : 1,139.45 = 524.12 : x
  2. Step 2: Convert to fraction form
    758.93/1,139.45 = 524.12/x
  3. Step 3: Cross multiply
    758.93x = 1,139.45 × 524.12
  4. Step 4: Simplify right side
    758.93x = 597,206.45
  5. Step 5: Solve for x
    x = 597,206.45/758.93
  6. Step 6: Final answer
    x = 786.90

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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.