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Finding the Fourth Proportional to 774.72, 1,162.56 and 390.72

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Solution

The fourth proportional to 774.72, 1,162.56 and 390.72 is: 586.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.72 : 1,162.56 = 390.72 : x
  2. Step 2: Convert to fraction form
    774.72/1,162.56 = 390.72/x
  3. Step 3: Cross multiply
    774.72x = 1,162.56 × 390.72
  4. Step 4: Simplify right side
    774.72x = 454,235.44
  5. Step 5: Solve for x
    x = 454,235.44/774.72
  6. Step 6: Final answer
    x = 586.32

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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.