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Finding the Fourth Proportional to 946.16, 1,305.66 and 553.22

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Solution

The fourth proportional to 946.16, 1,305.66 and 553.22 is: 763.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.16 : 1,305.66 = 553.22 : x
  2. Step 2: Convert to fraction form
    946.16/1,305.66 = 553.22/x
  3. Step 3: Cross multiply
    946.16x = 1,305.66 × 553.22
  4. Step 4: Simplify right side
    946.16x = 722,317.23
  5. Step 5: Solve for x
    x = 722,317.23/946.16
  6. Step 6: Final answer
    x = 763.42

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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.