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Finding the Fourth Proportional to 690.86, 1,036.16 and 315.66

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Solution

The fourth proportional to 690.86, 1,036.16 and 315.66 is: 473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.86 : 1,036.16 = 315.66 : x
  2. Step 2: Convert to fraction form
    690.86/1,036.16 = 315.66/x
  3. Step 3: Cross multiply
    690.86x = 1,036.16 × 315.66
  4. Step 4: Simplify right side
    690.86x = 327,077.76
  5. Step 5: Solve for x
    x = 327,077.76/690.86
  6. Step 6: Final answer
    x = 473.43

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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.