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Finding the Fourth Proportional to 852.34, 1,176.26 and 479.30

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Solution

The fourth proportional to 852.34, 1,176.26 and 479.30 is: 661.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.34 : 1,176.26 = 479.30 : x
  2. Step 2: Convert to fraction form
    852.34/1,176.26 = 479.30/x
  3. Step 3: Cross multiply
    852.34x = 1,176.26 × 479.30
  4. Step 4: Simplify right side
    852.34x = 563,779.76
  5. Step 5: Solve for x
    x = 563,779.76/852.34
  6. Step 6: Final answer
    x = 661.45

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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.