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Finding the Fourth Proportional to 1,060.17, 1,590.54 and 443.67

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Solution

The fourth proportional to 1,060.17, 1,590.54 and 443.67 is: 665.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.17 : 1,590.54 = 443.67 : x
  2. Step 2: Convert to fraction form
    1,060.17/1,590.54 = 443.67/x
  3. Step 3: Cross multiply
    1,060.17x = 1,590.54 × 443.67
  4. Step 4: Simplify right side
    1,060.17x = 705,674.88
  5. Step 5: Solve for x
    x = 705,674.88/1,060.17
  6. Step 6: Final answer
    x = 665.62

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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.