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Finding the Fourth Proportional to 1,415.93, 1,953.90 and 777.83

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Solution

The fourth proportional to 1,415.93, 1,953.90 and 777.83 is: 1,073.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.93 : 1,953.90 = 777.83 : x
  2. Step 2: Convert to fraction form
    1,415.93/1,953.90 = 777.83/x
  3. Step 3: Cross multiply
    1,415.93x = 1,953.90 × 777.83
  4. Step 4: Simplify right side
    1,415.93x = 1,519,792.27
  5. Step 5: Solve for x
    x = 1,519,792.27/1,415.93
  6. Step 6: Final answer
    x = 1,073.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.