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Finding the Fourth Proportional to 1,075.71, 1,484.13 and 726.48

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Solution

The fourth proportional to 1,075.71, 1,484.13 and 726.48 is: 1,002.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.71 : 1,484.13 = 726.48 : x
  2. Step 2: Convert to fraction form
    1,075.71/1,484.13 = 726.48/x
  3. Step 3: Cross multiply
    1,075.71x = 1,484.13 × 726.48
  4. Step 4: Simplify right side
    1,075.71x = 1,078,190.76
  5. Step 5: Solve for x
    x = 1,078,190.76/1,075.71
  6. Step 6: Final answer
    x = 1,002.31

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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.