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Finding the Fourth Proportional to 952.71, 1,314.75 and 533.07

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Solution

The fourth proportional to 952.71, 1,314.75 and 533.07 is: 735.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.71 : 1,314.75 = 533.07 : x
  2. Step 2: Convert to fraction form
    952.71/1,314.75 = 533.07/x
  3. Step 3: Cross multiply
    952.71x = 1,314.75 × 533.07
  4. Step 4: Simplify right side
    952.71x = 700,853.78
  5. Step 5: Solve for x
    x = 700,853.78/952.71
  6. Step 6: Final answer
    x = 735.64

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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.