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Finding the Fourth Proportional to 1,075.41, 1,484.07 and 603.32

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Solution

The fourth proportional to 1,075.41, 1,484.07 and 603.32 is: 832.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.41 : 1,484.07 = 603.32 : x
  2. Step 2: Convert to fraction form
    1,075.41/1,484.07 = 603.32/x
  3. Step 3: Cross multiply
    1,075.41x = 1,484.07 × 603.32
  4. Step 4: Simplify right side
    1,075.41x = 895,361.69
  5. Step 5: Solve for x
    x = 895,361.69/1,075.41
  6. Step 6: Final answer
    x = 832.58

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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.