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Finding the Fourth Proportional to 1,684.75, 2,527.22 and 530.59

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Solution

The fourth proportional to 1,684.75, 2,527.22 and 530.59 is: 795.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.75 : 2,527.22 = 530.59 : x
  2. Step 2: Convert to fraction form
    1,684.75/2,527.22 = 530.59/x
  3. Step 3: Cross multiply
    1,684.75x = 2,527.22 × 530.59
  4. Step 4: Simplify right side
    1,684.75x = 1,340,915.01
  5. Step 5: Solve for x
    x = 1,340,915.01/1,684.75
  6. Step 6: Final answer
    x = 795.91

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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.