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Finding the Fourth Proportional to 699.88, 1,048.20 and 503.65

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Solution

The fourth proportional to 699.88, 1,048.20 and 503.65 is: 754.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.88 : 1,048.20 = 503.65 : x
  2. Step 2: Convert to fraction form
    699.88/1,048.20 = 503.65/x
  3. Step 3: Cross multiply
    699.88x = 1,048.20 × 503.65
  4. Step 4: Simplify right side
    699.88x = 527,925.93
  5. Step 5: Solve for x
    x = 527,925.93/699.88
  6. Step 6: Final answer
    x = 754.31

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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.