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Finding the Fourth Proportional to 999.69, 1,498.59 and 783.15

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Solution

The fourth proportional to 999.69, 1,498.59 and 783.15 is: 1,173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.69 : 1,498.59 = 783.15 : x
  2. Step 2: Convert to fraction form
    999.69/1,498.59 = 783.15/x
  3. Step 3: Cross multiply
    999.69x = 1,498.59 × 783.15
  4. Step 4: Simplify right side
    999.69x = 1,173,620.76
  5. Step 5: Solve for x
    x = 1,173,620.76/999.69
  6. Step 6: Final answer
    x = 1,173.98

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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.