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Finding the Fourth Proportional to 536.94, 800.24 and 526.14

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Solution

The fourth proportional to 536.94, 800.24 and 526.14 is: 784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.94 : 800.24 = 526.14 : x
  2. Step 2: Convert to fraction form
    536.94/800.24 = 526.14/x
  3. Step 3: Cross multiply
    536.94x = 800.24 × 526.14
  4. Step 4: Simplify right side
    536.94x = 421,035.64
  5. Step 5: Solve for x
    x = 421,035.64/536.94
  6. Step 6: Final answer
    x = 784.14

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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.