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Finding the Fourth Proportional to 653.52, 978.66 and 498.81

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Solution

The fourth proportional to 653.52, 978.66 and 498.81 is: 746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.52 : 978.66 = 498.81 : x
  2. Step 2: Convert to fraction form
    653.52/978.66 = 498.81/x
  3. Step 3: Cross multiply
    653.52x = 978.66 × 498.81
  4. Step 4: Simplify right side
    653.52x = 488,165.39
  5. Step 5: Solve for x
    x = 488,165.39/653.52
  6. Step 6: Final answer
    x = 746.98

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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.