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Finding the Fourth Proportional to 1,023.39, 1,535.10 and 253.89

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Solution

The fourth proportional to 1,023.39, 1,535.10 and 253.89 is: 380.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.39 : 1,535.10 = 253.89 : x
  2. Step 2: Convert to fraction form
    1,023.39/1,535.10 = 253.89/x
  3. Step 3: Cross multiply
    1,023.39x = 1,535.10 × 253.89
  4. Step 4: Simplify right side
    1,023.39x = 389,746.54
  5. Step 5: Solve for x
    x = 389,746.54/1,023.39
  6. Step 6: Final answer
    x = 380.84

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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.