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Finding the Fourth Proportional to 830.37, 1,145.82 and 498.93

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Solution

The fourth proportional to 830.37, 1,145.82 and 498.93 is: 688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.37 : 1,145.82 = 498.93 : x
  2. Step 2: Convert to fraction form
    830.37/1,145.82 = 498.93/x
  3. Step 3: Cross multiply
    830.37x = 1,145.82 × 498.93
  4. Step 4: Simplify right side
    830.37x = 571,683.97
  5. Step 5: Solve for x
    x = 571,683.97/830.37
  6. Step 6: Final answer
    x = 688.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.