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Finding the Fourth Proportional to 1,483.53, 2,047.09 and 854.02

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Solution

The fourth proportional to 1,483.53, 2,047.09 and 854.02 is: 1,178.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.53 : 2,047.09 = 854.02 : x
  2. Step 2: Convert to fraction form
    1,483.53/2,047.09 = 854.02/x
  3. Step 3: Cross multiply
    1,483.53x = 2,047.09 × 854.02
  4. Step 4: Simplify right side
    1,483.53x = 1,748,251.53
  5. Step 5: Solve for x
    x = 1,748,251.53/1,483.53
  6. Step 6: Final answer
    x = 1,178.44

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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.