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Finding the Fourth Proportional to 1,668.91, 2,503.64 and 573.01

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Solution

The fourth proportional to 1,668.91, 2,503.64 and 573.01 is: 859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.91 : 2,503.64 = 573.01 : x
  2. Step 2: Convert to fraction form
    1,668.91/2,503.64 = 573.01/x
  3. Step 3: Cross multiply
    1,668.91x = 2,503.64 × 573.01
  4. Step 4: Simplify right side
    1,668.91x = 1,434,595.37
  5. Step 5: Solve for x
    x = 1,434,595.37/1,668.91
  6. Step 6: Final answer
    x = 859.60

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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.