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Finding the Fourth Proportional to 941.72, 1,411.56 and 478.58

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Solution

The fourth proportional to 941.72, 1,411.56 and 478.58 is: 717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.72 : 1,411.56 = 478.58 : x
  2. Step 2: Convert to fraction form
    941.72/1,411.56 = 478.58/x
  3. Step 3: Cross multiply
    941.72x = 1,411.56 × 478.58
  4. Step 4: Simplify right side
    941.72x = 675,544.38
  5. Step 5: Solve for x
    x = 675,544.38/941.72
  6. Step 6: Final answer
    x = 717.35

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Double scale
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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.