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Finding the Fourth Proportional to 746.36, 1,031.07 and 590.03

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Solution

The fourth proportional to 746.36, 1,031.07 and 590.03 is: 815.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.36 : 1,031.07 = 590.03 : x
  2. Step 2: Convert to fraction form
    746.36/1,031.07 = 590.03/x
  3. Step 3: Cross multiply
    746.36x = 1,031.07 × 590.03
  4. Step 4: Simplify right side
    746.36x = 608,362.23
  5. Step 5: Solve for x
    x = 608,362.23/746.36
  6. Step 6: Final answer
    x = 815.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.