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Finding the Fourth Proportional to 972.53, 1,464.61 and 852.25

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Solution

The fourth proportional to 972.53, 1,464.61 and 852.25 is: 1,283.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.53 : 1,464.61 = 852.25 : x
  2. Step 2: Convert to fraction form
    972.53/1,464.61 = 852.25/x
  3. Step 3: Cross multiply
    972.53x = 1,464.61 × 852.25
  4. Step 4: Simplify right side
    972.53x = 1,248,206.55
  5. Step 5: Solve for x
    x = 1,248,206.55/972.53
  6. Step 6: Final answer
    x = 1,283.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.