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Finding the Fourth Proportional to 614.29, 922.62 and 526.64

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Solution

The fourth proportional to 614.29, 922.62 and 526.64 is: 790.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.29 : 922.62 = 526.64 : x
  2. Step 2: Convert to fraction form
    614.29/922.62 = 526.64/x
  3. Step 3: Cross multiply
    614.29x = 922.62 × 526.64
  4. Step 4: Simplify right side
    614.29x = 485,888.60
  5. Step 5: Solve for x
    x = 485,888.60/614.29
  6. Step 6: Final answer
    x = 790.98

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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.