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Finding the Fourth Proportional to 946.72, 1,305.82 and 615.03

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Solution

The fourth proportional to 946.72, 1,305.82 and 615.03 is: 848.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.72 : 1,305.82 = 615.03 : x
  2. Step 2: Convert to fraction form
    946.72/1,305.82 = 615.03/x
  3. Step 3: Cross multiply
    946.72x = 1,305.82 × 615.03
  4. Step 4: Simplify right side
    946.72x = 803,118.47
  5. Step 5: Solve for x
    x = 803,118.47/946.72
  6. Step 6: Final answer
    x = 848.32

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Half scale
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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.