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Finding the Fourth Proportional to 1,283.07, 1,924.62 and 847.11

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Solution

The fourth proportional to 1,283.07, 1,924.62 and 847.11 is: 1,270.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.07 : 1,924.62 = 847.11 : x
  2. Step 2: Convert to fraction form
    1,283.07/1,924.62 = 847.11/x
  3. Step 3: Cross multiply
    1,283.07x = 1,924.62 × 847.11
  4. Step 4: Simplify right side
    1,283.07x = 1,630,364.85
  5. Step 5: Solve for x
    x = 1,630,364.85/1,283.07
  6. Step 6: Final answer
    x = 1,270.67

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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.