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Finding the Fourth Proportional to 1,238.93, 1,858.46 and 891.30

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Solution

The fourth proportional to 1,238.93, 1,858.46 and 891.30 is: 1,337.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.93 : 1,858.46 = 891.30 : x
  2. Step 2: Convert to fraction form
    1,238.93/1,858.46 = 891.30/x
  3. Step 3: Cross multiply
    1,238.93x = 1,858.46 × 891.30
  4. Step 4: Simplify right side
    1,238.93x = 1,656,445.40
  5. Step 5: Solve for x
    x = 1,656,445.40/1,238.93
  6. Step 6: Final answer
    x = 1,337.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.