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Finding the Fourth Proportional to 1,435.12, 2,152.07 and 510.91

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Solution

The fourth proportional to 1,435.12, 2,152.07 and 510.91 is: 766.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.12 : 2,152.07 = 510.91 : x
  2. Step 2: Convert to fraction form
    1,435.12/2,152.07 = 510.91/x
  3. Step 3: Cross multiply
    1,435.12x = 2,152.07 × 510.91
  4. Step 4: Simplify right side
    1,435.12x = 1,099,508.06
  5. Step 5: Solve for x
    x = 1,099,508.06/1,435.12
  6. Step 6: Final answer
    x = 766.14

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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.