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Finding the Fourth Proportional to 1,435.93, 2,154.13 and 511.29

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Solution

The fourth proportional to 1,435.93, 2,154.13 and 511.29 is: 767.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.93 : 2,154.13 = 511.29 : x
  2. Step 2: Convert to fraction form
    1,435.93/2,154.13 = 511.29/x
  3. Step 3: Cross multiply
    1,435.93x = 2,154.13 × 511.29
  4. Step 4: Simplify right side
    1,435.93x = 1,101,385.13
  5. Step 5: Solve for x
    x = 1,101,385.13/1,435.93
  6. Step 6: Final answer
    x = 767.02

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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.