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Finding the Fourth Proportional to 1,665.85, 2,498.16 and 569.92

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Solution

The fourth proportional to 1,665.85, 2,498.16 and 569.92 is: 854.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.85 : 2,498.16 = 569.92 : x
  2. Step 2: Convert to fraction form
    1,665.85/2,498.16 = 569.92/x
  3. Step 3: Cross multiply
    1,665.85x = 2,498.16 × 569.92
  4. Step 4: Simplify right side
    1,665.85x = 1,423,751.35
  5. Step 5: Solve for x
    x = 1,423,751.35/1,665.85
  6. Step 6: Final answer
    x = 854.67

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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.