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Finding the Fourth Proportional to 1,522.49, 2,283.86 and 597.98

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Solution

The fourth proportional to 1,522.49, 2,283.86 and 597.98 is: 897.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.49 : 2,283.86 = 597.98 : x
  2. Step 2: Convert to fraction form
    1,522.49/2,283.86 = 597.98/x
  3. Step 3: Cross multiply
    1,522.49x = 2,283.86 × 597.98
  4. Step 4: Simplify right side
    1,522.49x = 1,365,702.60
  5. Step 5: Solve for x
    x = 1,365,702.60/1,522.49
  6. Step 6: Final answer
    x = 897.02

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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.