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Finding the Fourth Proportional to 1,118.90, 1,670.30 and 1,037.80

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Solution

The fourth proportional to 1,118.90, 1,670.30 and 1,037.80 is: 1,549.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.90 : 1,670.30 = 1,037.80 : x
  2. Step 2: Convert to fraction form
    1,118.90/1,670.30 = 1,037.80/x
  3. Step 3: Cross multiply
    1,118.90x = 1,670.30 × 1,037.80
  4. Step 4: Simplify right side
    1,118.90x = 1,733,427.98
  5. Step 5: Solve for x
    x = 1,733,427.98/1,118.90
  6. Step 6: Final answer
    x = 1,549.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.