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Finding the Fourth Proportional to 1,265.86, 1,897.50 and 803.98

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Solution

The fourth proportional to 1,265.86, 1,897.50 and 803.98 is: 1,205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.86 : 1,897.50 = 803.98 : x
  2. Step 2: Convert to fraction form
    1,265.86/1,897.50 = 803.98/x
  3. Step 3: Cross multiply
    1,265.86x = 1,897.50 × 803.98
  4. Step 4: Simplify right side
    1,265.86x = 1,525,552.05
  5. Step 5: Solve for x
    x = 1,525,552.05/1,265.86
  6. Step 6: Final answer
    x = 1,205.15

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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.