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Finding the Fourth Proportional to 756.25, 1,043.53 and 424.68

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Solution

The fourth proportional to 756.25, 1,043.53 and 424.68 is: 586.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.25 : 1,043.53 = 424.68 : x
  2. Step 2: Convert to fraction form
    756.25/1,043.53 = 424.68/x
  3. Step 3: Cross multiply
    756.25x = 1,043.53 × 424.68
  4. Step 4: Simplify right side
    756.25x = 443,166.32
  5. Step 5: Solve for x
    x = 443,166.32/756.25
  6. Step 6: Final answer
    x = 586.01

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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.