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Finding the Fourth Proportional to 931.24, 1,395.60 and 498.70

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Solution

The fourth proportional to 931.24, 1,395.60 and 498.70 is: 747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.24 : 1,395.60 = 498.70 : x
  2. Step 2: Convert to fraction form
    931.24/1,395.60 = 498.70/x
  3. Step 3: Cross multiply
    931.24x = 1,395.60 × 498.70
  4. Step 4: Simplify right side
    931.24x = 695,985.72
  5. Step 5: Solve for x
    x = 695,985.72/931.24
  6. Step 6: Final answer
    x = 747.38

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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.