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Finding the Fourth Proportional to 904.55, 1,248.19 and 506.19

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Solution

The fourth proportional to 904.55, 1,248.19 and 506.19 is: 698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.55 : 1,248.19 = 506.19 : x
  2. Step 2: Convert to fraction form
    904.55/1,248.19 = 506.19/x
  3. Step 3: Cross multiply
    904.55x = 1,248.19 × 506.19
  4. Step 4: Simplify right side
    904.55x = 631,816.70
  5. Step 5: Solve for x
    x = 631,816.70/904.55
  6. Step 6: Final answer
    x = 698.49

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Double scale
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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.