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Finding the Fourth Proportional to 830.58, 1,242.81 and 500.34

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Solution

The fourth proportional to 830.58, 1,242.81 and 500.34 is: 748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.58 : 1,242.81 = 500.34 : x
  2. Step 2: Convert to fraction form
    830.58/1,242.81 = 500.34/x
  3. Step 3: Cross multiply
    830.58x = 1,242.81 × 500.34
  4. Step 4: Simplify right side
    830.58x = 621,827.56
  5. Step 5: Solve for x
    x = 621,827.56/830.58
  6. Step 6: Final answer
    x = 748.67

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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.