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Finding the Fourth Proportional to 1,075.94, 1,484.84 and 603.84

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Solution

The fourth proportional to 1,075.94, 1,484.84 and 603.84 is: 833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.94 : 1,484.84 = 603.84 : x
  2. Step 2: Convert to fraction form
    1,075.94/1,484.84 = 603.84/x
  3. Step 3: Cross multiply
    1,075.94x = 1,484.84 × 603.84
  4. Step 4: Simplify right side
    1,075.94x = 896,605.79
  5. Step 5: Solve for x
    x = 896,605.79/1,075.94
  6. Step 6: Final answer
    x = 833.32

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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.