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Finding the Fourth Proportional to 1,328.07, 1,832.64 and 738.60

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Solution

The fourth proportional to 1,328.07, 1,832.64 and 738.60 is: 1,019.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.07 : 1,832.64 = 738.60 : x
  2. Step 2: Convert to fraction form
    1,328.07/1,832.64 = 738.60/x
  3. Step 3: Cross multiply
    1,328.07x = 1,832.64 × 738.60
  4. Step 4: Simplify right side
    1,328.07x = 1,353,587.90
  5. Step 5: Solve for x
    x = 1,353,587.90/1,328.07
  6. Step 6: Final answer
    x = 1,019.21

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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.