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Finding the Fourth Proportional to 1,402.24, 1,934.64 and 842.92

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Solution

The fourth proportional to 1,402.24, 1,934.64 and 842.92 is: 1,162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.24 : 1,934.64 = 842.92 : x
  2. Step 2: Convert to fraction form
    1,402.24/1,934.64 = 842.92/x
  3. Step 3: Cross multiply
    1,402.24x = 1,934.64 × 842.92
  4. Step 4: Simplify right side
    1,402.24x = 1,630,746.75
  5. Step 5: Solve for x
    x = 1,630,746.75/1,402.24
  6. Step 6: Final answer
    x = 1,162.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.