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Finding the Fourth Proportional to 612.12, 916.29 and 524.64

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Solution

The fourth proportional to 612.12, 916.29 and 524.64 is: 785.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.12 : 916.29 = 524.64 : x
  2. Step 2: Convert to fraction form
    612.12/916.29 = 524.64/x
  3. Step 3: Cross multiply
    612.12x = 916.29 × 524.64
  4. Step 4: Simplify right side
    612.12x = 480,722.39
  5. Step 5: Solve for x
    x = 480,722.39/612.12
  6. Step 6: Final answer
    x = 785.34

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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.