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Finding the Fourth Proportional to 1,435.56, 2,152.62 and 510.97

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Solution

The fourth proportional to 1,435.56, 2,152.62 and 510.97 is: 766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.56 : 2,152.62 = 510.97 : x
  2. Step 2: Convert to fraction form
    1,435.56/2,152.62 = 510.97/x
  3. Step 3: Cross multiply
    1,435.56x = 2,152.62 × 510.97
  4. Step 4: Simplify right side
    1,435.56x = 1,099,924.24
  5. Step 5: Solve for x
    x = 1,099,924.24/1,435.56
  6. Step 6: Final answer
    x = 766.20

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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.