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Finding the Fourth Proportional to 756.84, 1,043.08 and 582.60

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Solution

The fourth proportional to 756.84, 1,043.08 and 582.60 is: 802.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.84 : 1,043.08 = 582.60 : x
  2. Step 2: Convert to fraction form
    756.84/1,043.08 = 582.60/x
  3. Step 3: Cross multiply
    756.84x = 1,043.08 × 582.60
  4. Step 4: Simplify right side
    756.84x = 607,698.41
  5. Step 5: Solve for x
    x = 607,698.41/756.84
  6. Step 6: Final answer
    x = 802.94

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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.