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Finding the Fourth Proportional to 1,770.67, 2,653.57 and 903.16

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Solution

The fourth proportional to 1,770.67, 2,653.57 and 903.16 is: 1,353.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.67 : 2,653.57 = 903.16 : x
  2. Step 2: Convert to fraction form
    1,770.67/2,653.57 = 903.16/x
  3. Step 3: Cross multiply
    1,770.67x = 2,653.57 × 903.16
  4. Step 4: Simplify right side
    1,770.67x = 2,396,580.50
  5. Step 5: Solve for x
    x = 2,396,580.50/1,770.67
  6. Step 6: Final answer
    x = 1,353.49

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1.5x scale

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.