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Finding the Fourth Proportional to 653.01, 978.29 and 509.64

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Solution

The fourth proportional to 653.01, 978.29 and 509.64 is: 763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.01 : 978.29 = 509.64 : x
  2. Step 2: Convert to fraction form
    653.01/978.29 = 509.64/x
  3. Step 3: Cross multiply
    653.01x = 978.29 × 509.64
  4. Step 4: Simplify right side
    653.01x = 498,575.72
  5. Step 5: Solve for x
    x = 498,575.72/653.01
  6. Step 6: Final answer
    x = 763.50

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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.