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Finding the Fourth Proportional to 1,729.99, 2,595.42 and 497.48

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Solution

The fourth proportional to 1,729.99, 2,595.42 and 497.48 is: 746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.99 : 2,595.42 = 497.48 : x
  2. Step 2: Convert to fraction form
    1,729.99/2,595.42 = 497.48/x
  3. Step 3: Cross multiply
    1,729.99x = 2,595.42 × 497.48
  4. Step 4: Simplify right side
    1,729.99x = 1,291,176.03
  5. Step 5: Solve for x
    x = 1,291,176.03/1,729.99
  6. Step 6: Final answer
    x = 746.35

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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.