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Finding the Fourth Proportional to 946.68, 1,418.19 and 460.08

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Solution

The fourth proportional to 946.68, 1,418.19 and 460.08 is: 689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.68 : 1,418.19 = 460.08 : x
  2. Step 2: Convert to fraction form
    946.68/1,418.19 = 460.08/x
  3. Step 3: Cross multiply
    946.68x = 1,418.19 × 460.08
  4. Step 4: Simplify right side
    946.68x = 652,480.86
  5. Step 5: Solve for x
    x = 652,480.86/946.68
  6. Step 6: Final answer
    x = 689.23

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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.