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Finding the Fourth Proportional to 957.53, 1,322.39 and 854.46

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Solution

The fourth proportional to 957.53, 1,322.39 and 854.46 is: 1,180.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.53 : 1,322.39 = 854.46 : x
  2. Step 2: Convert to fraction form
    957.53/1,322.39 = 854.46/x
  3. Step 3: Cross multiply
    957.53x = 1,322.39 × 854.46
  4. Step 4: Simplify right side
    957.53x = 1,129,931.50
  5. Step 5: Solve for x
    x = 1,129,931.50/957.53
  6. Step 6: Final answer
    x = 1,180.05

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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.