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Finding the Fourth Proportional to 1,665.13, 2,497.74 and 510.88

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Solution

The fourth proportional to 1,665.13, 2,497.74 and 510.88 is: 766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.13 : 2,497.74 = 510.88 : x
  2. Step 2: Convert to fraction form
    1,665.13/2,497.74 = 510.88/x
  3. Step 3: Cross multiply
    1,665.13x = 2,497.74 × 510.88
  4. Step 4: Simplify right side
    1,665.13x = 1,276,030.37
  5. Step 5: Solve for x
    x = 1,276,030.37/1,665.13
  6. Step 6: Final answer
    x = 766.33

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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.