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Finding the Fourth Proportional to 1,019.95, 1,407.55 and 554.21

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Solution

The fourth proportional to 1,019.95, 1,407.55 and 554.21 is: 764.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.95 : 1,407.55 = 554.21 : x
  2. Step 2: Convert to fraction form
    1,019.95/1,407.55 = 554.21/x
  3. Step 3: Cross multiply
    1,019.95x = 1,407.55 × 554.21
  4. Step 4: Simplify right side
    1,019.95x = 780,075.51
  5. Step 5: Solve for x
    x = 780,075.51/1,019.95
  6. Step 6: Final answer
    x = 764.82

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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.