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Finding the Fourth Proportional to 690.35, 1,035.65 and 203.47

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Solution

The fourth proportional to 690.35, 1,035.65 and 203.47 is: 305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.35 : 1,035.65 = 203.47 : x
  2. Step 2: Convert to fraction form
    690.35/1,035.65 = 203.47/x
  3. Step 3: Cross multiply
    690.35x = 1,035.65 × 203.47
  4. Step 4: Simplify right side
    690.35x = 210,721.63
  5. Step 5: Solve for x
    x = 210,721.63/690.35
  6. Step 6: Final answer
    x = 305.24

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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.