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Finding the Fourth Proportional to 652.32, 978.84 and 556.56

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Solution

The fourth proportional to 652.32, 978.84 and 556.56 is: 835.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.32 : 978.84 = 556.56 : x
  2. Step 2: Convert to fraction form
    652.32/978.84 = 556.56/x
  3. Step 3: Cross multiply
    652.32x = 978.84 × 556.56
  4. Step 4: Simplify right side
    652.32x = 544,783.19
  5. Step 5: Solve for x
    x = 544,783.19/652.32
  6. Step 6: Final answer
    x = 835.15

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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.