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Finding the Fourth Proportional to 691.87, 1,038.08 and 281.04

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Solution

The fourth proportional to 691.87, 1,038.08 and 281.04 is: 421.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.87 : 1,038.08 = 281.04 : x
  2. Step 2: Convert to fraction form
    691.87/1,038.08 = 281.04/x
  3. Step 3: Cross multiply
    691.87x = 1,038.08 × 281.04
  4. Step 4: Simplify right side
    691.87x = 291,740.23
  5. Step 5: Solve for x
    x = 291,740.23/691.87
  6. Step 6: Final answer
    x = 421.67

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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.