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Finding the Fourth Proportional to 653.10, 978.30 and 653.10

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Solution

The fourth proportional to 653.10, 978.30 and 653.10 is: 978.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.10 : 978.30 = 653.10 : x
  2. Step 2: Convert to fraction form
    653.10/978.30 = 653.10/x
  3. Step 3: Cross multiply
    653.10x = 978.30 × 653.10
  4. Step 4: Simplify right side
    653.10x = 638,927.73
  5. Step 5: Solve for x
    x = 638,927.73/653.10
  6. Step 6: Final answer
    x = 978.30

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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.