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Finding the Fourth Proportional to 1,065.18, 1,598.04 and 415.71

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Solution

The fourth proportional to 1,065.18, 1,598.04 and 415.71 is: 623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.18 : 1,598.04 = 415.71 : x
  2. Step 2: Convert to fraction form
    1,065.18/1,598.04 = 415.71/x
  3. Step 3: Cross multiply
    1,065.18x = 1,598.04 × 415.71
  4. Step 4: Simplify right side
    1,065.18x = 664,321.21
  5. Step 5: Solve for x
    x = 664,321.21/1,065.18
  6. Step 6: Final answer
    x = 623.67

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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.