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Finding the Fourth Proportional to 1,254.85, 1,729.85 and 988.44

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Solution

The fourth proportional to 1,254.85, 1,729.85 and 988.44 is: 1,362.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.85 : 1,729.85 = 988.44 : x
  2. Step 2: Convert to fraction form
    1,254.85/1,729.85 = 988.44/x
  3. Step 3: Cross multiply
    1,254.85x = 1,729.85 × 988.44
  4. Step 4: Simplify right side
    1,254.85x = 1,709,852.93
  5. Step 5: Solve for x
    x = 1,709,852.93/1,254.85
  6. Step 6: Final answer
    x = 1,362.60

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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.