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Finding the Fourth Proportional to 780.38, 1,075.71 and 570.26

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Solution

The fourth proportional to 780.38, 1,075.71 and 570.26 is: 786.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.38 : 1,075.71 = 570.26 : x
  2. Step 2: Convert to fraction form
    780.38/1,075.71 = 570.26/x
  3. Step 3: Cross multiply
    780.38x = 1,075.71 × 570.26
  4. Step 4: Simplify right side
    780.38x = 613,434.38
  5. Step 5: Solve for x
    x = 613,434.38/780.38
  6. Step 6: Final answer
    x = 786.07

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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.