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Finding the Fourth Proportional to 852.00, 1,176.23 and 652.45

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Solution

The fourth proportional to 852.00, 1,176.23 and 652.45 is: 900.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.00 : 1,176.23 = 652.45 : x
  2. Step 2: Convert to fraction form
    852.00/1,176.23 = 652.45/x
  3. Step 3: Cross multiply
    852.00x = 1,176.23 × 652.45
  4. Step 4: Simplify right side
    852.00x = 767,432.16
  5. Step 5: Solve for x
    x = 767,432.16/852.00
  6. Step 6: Final answer
    x = 900.74

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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.