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Finding the Fourth Proportional to 841.81, 1,259.88 and 693.85

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Solution

The fourth proportional to 841.81, 1,259.88 and 693.85 is: 1,038.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.81 : 1,259.88 = 693.85 : x
  2. Step 2: Convert to fraction form
    841.81/1,259.88 = 693.85/x
  3. Step 3: Cross multiply
    841.81x = 1,259.88 × 693.85
  4. Step 4: Simplify right side
    841.81x = 874,167.74
  5. Step 5: Solve for x
    x = 874,167.74/841.81
  6. Step 6: Final answer
    x = 1,038.44

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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.