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Finding the Fourth Proportional to 1,023.10, 1,535.64 and 612.70

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Solution

The fourth proportional to 1,023.10, 1,535.64 and 612.70 is: 919.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.10 : 1,535.64 = 612.70 : x
  2. Step 2: Convert to fraction form
    1,023.10/1,535.64 = 612.70/x
  3. Step 3: Cross multiply
    1,023.10x = 1,535.64 × 612.70
  4. Step 4: Simplify right side
    1,023.10x = 940,886.63
  5. Step 5: Solve for x
    x = 940,886.63/1,023.10
  6. Step 6: Final answer
    x = 919.64

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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.