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Finding the Fourth Proportional to 952.56, 1,314.16 and 559.36

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Solution

The fourth proportional to 952.56, 1,314.16 and 559.36 is: 771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.56 : 1,314.16 = 559.36 : x
  2. Step 2: Convert to fraction form
    952.56/1,314.16 = 559.36/x
  3. Step 3: Cross multiply
    952.56x = 1,314.16 × 559.36
  4. Step 4: Simplify right side
    952.56x = 735,088.54
  5. Step 5: Solve for x
    x = 735,088.54/952.56
  6. Step 6: Final answer
    x = 771.70

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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.