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Finding the Fourth Proportional to 1,075.42, 1,484.04 and 633.35

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Solution

The fourth proportional to 1,075.42, 1,484.04 and 633.35 is: 874.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.42 : 1,484.04 = 633.35 : x
  2. Step 2: Convert to fraction form
    1,075.42/1,484.04 = 633.35/x
  3. Step 3: Cross multiply
    1,075.42x = 1,484.04 × 633.35
  4. Step 4: Simplify right side
    1,075.42x = 939,922.82
  5. Step 5: Solve for x
    x = 939,922.82/1,075.42
  6. Step 6: Final answer
    x = 874.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.