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Finding the Fourth Proportional to 1,075.97, 1,484.75 and 603.80

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Solution

The fourth proportional to 1,075.97, 1,484.75 and 603.80 is: 833.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.97 : 1,484.75 = 603.80 : x
  2. Step 2: Convert to fraction form
    1,075.97/1,484.75 = 603.80/x
  3. Step 3: Cross multiply
    1,075.97x = 1,484.75 × 603.80
  4. Step 4: Simplify right side
    1,075.97x = 896,491.70
  5. Step 5: Solve for x
    x = 896,491.70/1,075.97
  6. Step 6: Final answer
    x = 833.19

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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.