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Finding the Fourth Proportional to 852.40, 1,176.06 and 604.36

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Solution

The fourth proportional to 852.40, 1,176.06 and 604.36 is: 833.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.40 : 1,176.06 = 604.36 : x
  2. Step 2: Convert to fraction form
    852.40/1,176.06 = 604.36/x
  3. Step 3: Cross multiply
    852.40x = 1,176.06 × 604.36
  4. Step 4: Simplify right side
    852.40x = 710,763.62
  5. Step 5: Solve for x
    x = 710,763.62/852.40
  6. Step 6: Final answer
    x = 833.84

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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.