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Finding the Fourth Proportional to 1,501.64, 2,252.45 and 406.00

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Solution

The fourth proportional to 1,501.64, 2,252.45 and 406.00 is: 608.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.64 : 2,252.45 = 406.00 : x
  2. Step 2: Convert to fraction form
    1,501.64/2,252.45 = 406.00/x
  3. Step 3: Cross multiply
    1,501.64x = 2,252.45 × 406.00
  4. Step 4: Simplify right side
    1,501.64x = 914,481.41
  5. Step 5: Solve for x
    x = 914,481.41/1,501.64
  6. Step 6: Final answer
    x = 608.99

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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.