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Finding the Fourth Proportional to 1,645.34, 2,270.53 and 899.28

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Solution

The fourth proportional to 1,645.34, 2,270.53 and 899.28 is: 1,240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.34 : 2,270.53 = 899.28 : x
  2. Step 2: Convert to fraction form
    1,645.34/2,270.53 = 899.28/x
  3. Step 3: Cross multiply
    1,645.34x = 2,270.53 × 899.28
  4. Step 4: Simplify right side
    1,645.34x = 2,041,842.22
  5. Step 5: Solve for x
    x = 2,041,842.22/1,645.34
  6. Step 6: Final answer
    x = 1,240.98

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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.