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Finding the Fourth Proportional to 599.29, 894.56 and 526.39

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Solution

The fourth proportional to 599.29, 894.56 and 526.39 is: 785.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.29 : 894.56 = 526.39 : x
  2. Step 2: Convert to fraction form
    599.29/894.56 = 526.39/x
  3. Step 3: Cross multiply
    599.29x = 894.56 × 526.39
  4. Step 4: Simplify right side
    599.29x = 470,887.44
  5. Step 5: Solve for x
    x = 470,887.44/599.29
  6. Step 6: Final answer
    x = 785.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.