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Finding the Fourth Proportional to 1,045.66, 1,568.07 and 429.67

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Solution

The fourth proportional to 1,045.66, 1,568.07 and 429.67 is: 644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.66 : 1,568.07 = 429.67 : x
  2. Step 2: Convert to fraction form
    1,045.66/1,568.07 = 429.67/x
  3. Step 3: Cross multiply
    1,045.66x = 1,568.07 × 429.67
  4. Step 4: Simplify right side
    1,045.66x = 673,752.64
  5. Step 5: Solve for x
    x = 673,752.64/1,045.66
  6. Step 6: Final answer
    x = 644.33

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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.