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Finding the Fourth Proportional to 1,437.86, 1,984.14 and 808.30

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Solution

The fourth proportional to 1,437.86, 1,984.14 and 808.30 is: 1,115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.86 : 1,984.14 = 808.30 : x
  2. Step 2: Convert to fraction form
    1,437.86/1,984.14 = 808.30/x
  3. Step 3: Cross multiply
    1,437.86x = 1,984.14 × 808.30
  4. Step 4: Simplify right side
    1,437.86x = 1,603,780.36
  5. Step 5: Solve for x
    x = 1,603,780.36/1,437.86
  6. Step 6: Final answer
    x = 1,115.39

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1.5x scale

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.