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Finding the Fourth Proportional to 1,520.71, 2,281.40 and 596.35

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Solution

The fourth proportional to 1,520.71, 2,281.40 and 596.35 is: 894.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.71 : 2,281.40 = 596.35 : x
  2. Step 2: Convert to fraction form
    1,520.71/2,281.40 = 596.35/x
  3. Step 3: Cross multiply
    1,520.71x = 2,281.40 × 596.35
  4. Step 4: Simplify right side
    1,520.71x = 1,360,515.00
  5. Step 5: Solve for x
    x = 1,360,515.00/1,520.71
  6. Step 6: Final answer
    x = 894.66

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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.