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Finding the Fourth Proportional to 952.64, 1,314.12 and 638.12

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Solution

The fourth proportional to 952.64, 1,314.12 and 638.12 is: 880.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.64 : 1,314.12 = 638.12 : x
  2. Step 2: Convert to fraction form
    952.64/1,314.12 = 638.12/x
  3. Step 3: Cross multiply
    952.64x = 1,314.12 × 638.12
  4. Step 4: Simplify right side
    952.64x = 838,566.25
  5. Step 5: Solve for x
    x = 838,566.25/952.64
  6. Step 6: Final answer
    x = 880.26

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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.