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Finding the Fourth Proportional to 957.90, 1,435.63 and 519.13

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Solution

The fourth proportional to 957.90, 1,435.63 and 519.13 is: 778.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.90 : 1,435.63 = 519.13 : x
  2. Step 2: Convert to fraction form
    957.90/1,435.63 = 519.13/x
  3. Step 3: Cross multiply
    957.90x = 1,435.63 × 519.13
  4. Step 4: Simplify right side
    957.90x = 745,278.60
  5. Step 5: Solve for x
    x = 745,278.60/957.90
  6. Step 6: Final answer
    x = 778.03

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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.