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Finding the Fourth Proportional to 1,731.93, 2,597.72 and 433.40

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Solution

The fourth proportional to 1,731.93, 2,597.72 and 433.40 is: 650.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.93 : 2,597.72 = 433.40 : x
  2. Step 2: Convert to fraction form
    1,731.93/2,597.72 = 433.40/x
  3. Step 3: Cross multiply
    1,731.93x = 2,597.72 × 433.40
  4. Step 4: Simplify right side
    1,731.93x = 1,125,853.74
  5. Step 5: Solve for x
    x = 1,125,853.74/1,731.93
  6. Step 6: Final answer
    x = 650.06

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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.