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Finding the Fourth Proportional to 830.05, 1,145.34 and 498.35

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Solution

The fourth proportional to 830.05, 1,145.34 and 498.35 is: 687.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.05 : 1,145.34 = 498.35 : x
  2. Step 2: Convert to fraction form
    830.05/1,145.34 = 498.35/x
  3. Step 3: Cross multiply
    830.05x = 1,145.34 × 498.35
  4. Step 4: Simplify right side
    830.05x = 570,783.05
  5. Step 5: Solve for x
    x = 570,783.05/830.05
  6. Step 6: Final answer
    x = 687.65

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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.