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Finding the Fourth Proportional to 628.68, 944.64 and 586.56

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Solution

The fourth proportional to 628.68, 944.64 and 586.56 is: 881.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.68 : 944.64 = 586.56 : x
  2. Step 2: Convert to fraction form
    628.68/944.64 = 586.56/x
  3. Step 3: Cross multiply
    628.68x = 944.64 × 586.56
  4. Step 4: Simplify right side
    628.68x = 554,088.04
  5. Step 5: Solve for x
    x = 554,088.04/628.68
  6. Step 6: Final answer
    x = 881.35

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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.