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Finding the Fourth Proportional to 1,281.40, 1,922.10 and 633.40

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Solution

The fourth proportional to 1,281.40, 1,922.10 and 633.40 is: 950.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.40 : 1,922.10 = 633.40 : x
  2. Step 2: Convert to fraction form
    1,281.40/1,922.10 = 633.40/x
  3. Step 3: Cross multiply
    1,281.40x = 1,922.10 × 633.40
  4. Step 4: Simplify right side
    1,281.40x = 1,217,458.14
  5. Step 5: Solve for x
    x = 1,217,458.14/1,281.40
  6. Step 6: Final answer
    x = 950.10

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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.