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Finding the Fourth Proportional to 1,725.69, 2,588.53 and 427.16

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Solution

The fourth proportional to 1,725.69, 2,588.53 and 427.16 is: 640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.69 : 2,588.53 = 427.16 : x
  2. Step 2: Convert to fraction form
    1,725.69/2,588.53 = 427.16/x
  3. Step 3: Cross multiply
    1,725.69x = 2,588.53 × 427.16
  4. Step 4: Simplify right side
    1,725.69x = 1,105,714.34
  5. Step 5: Solve for x
    x = 1,105,714.34/1,725.69
  6. Step 6: Final answer
    x = 640.74

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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.