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Finding the Fourth Proportional to 1,140.98, 1,575.34 and 874.96

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Solution

The fourth proportional to 1,140.98, 1,575.34 and 874.96 is: 1,208.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.98 : 1,575.34 = 874.96 : x
  2. Step 2: Convert to fraction form
    1,140.98/1,575.34 = 874.96/x
  3. Step 3: Cross multiply
    1,140.98x = 1,575.34 × 874.96
  4. Step 4: Simplify right side
    1,140.98x = 1,378,359.49
  5. Step 5: Solve for x
    x = 1,378,359.49/1,140.98
  6. Step 6: Final answer
    x = 1,208.05

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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.