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Finding the Fourth Proportional to 758.37, 1,134.90 and 562.98

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Solution

The fourth proportional to 758.37, 1,134.90 and 562.98 is: 842.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.37 : 1,134.90 = 562.98 : x
  2. Step 2: Convert to fraction form
    758.37/1,134.90 = 562.98/x
  3. Step 3: Cross multiply
    758.37x = 1,134.90 × 562.98
  4. Step 4: Simplify right side
    758.37x = 638,926.00
  5. Step 5: Solve for x
    x = 638,926.00/758.37
  6. Step 6: Final answer
    x = 842.50

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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.