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Finding the Fourth Proportional to 904.52, 1,247.18 and 738.20

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Solution

The fourth proportional to 904.52, 1,247.18 and 738.20 is: 1,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.52 : 1,247.18 = 738.20 : x
  2. Step 2: Convert to fraction form
    904.52/1,247.18 = 738.20/x
  3. Step 3: Cross multiply
    904.52x = 1,247.18 × 738.20
  4. Step 4: Simplify right side
    904.52x = 920,668.28
  5. Step 5: Solve for x
    x = 920,668.28/904.52
  6. Step 6: Final answer
    x = 1,017.85

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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.