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Finding the Fourth Proportional to 1,495.76, 2,243.84 and 521.60

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Solution

The fourth proportional to 1,495.76, 2,243.84 and 521.60 is: 782.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.76 : 2,243.84 = 521.60 : x
  2. Step 2: Convert to fraction form
    1,495.76/2,243.84 = 521.60/x
  3. Step 3: Cross multiply
    1,495.76x = 2,243.84 × 521.60
  4. Step 4: Simplify right side
    1,495.76x = 1,170,373.12
  5. Step 5: Solve for x
    x = 1,170,373.12/1,495.76
  6. Step 6: Final answer
    x = 782.46

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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.