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Finding the Fourth Proportional to 940.65, 1,298.04 and 520.99

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Solution

The fourth proportional to 940.65, 1,298.04 and 520.99 is: 718.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.65 : 1,298.04 = 520.99 : x
  2. Step 2: Convert to fraction form
    940.65/1,298.04 = 520.99/x
  3. Step 3: Cross multiply
    940.65x = 1,298.04 × 520.99
  4. Step 4: Simplify right side
    940.65x = 676,265.86
  5. Step 5: Solve for x
    x = 676,265.86/940.65
  6. Step 6: Final answer
    x = 718.93

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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.