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Finding the Fourth Proportional to 744.84, 1,026.54 and 570.42

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Solution

The fourth proportional to 744.84, 1,026.54 and 570.42 is: 786.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.84 : 1,026.54 = 570.42 : x
  2. Step 2: Convert to fraction form
    744.84/1,026.54 = 570.42/x
  3. Step 3: Cross multiply
    744.84x = 1,026.54 × 570.42
  4. Step 4: Simplify right side
    744.84x = 585,558.95
  5. Step 5: Solve for x
    x = 585,558.95/744.84
  6. Step 6: Final answer
    x = 786.15

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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.