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Finding the Fourth Proportional to 1,050.36, 1,574.64 and 401.56

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Solution

The fourth proportional to 1,050.36, 1,574.64 and 401.56 is: 602.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.36 : 1,574.64 = 401.56 : x
  2. Step 2: Convert to fraction form
    1,050.36/1,574.64 = 401.56/x
  3. Step 3: Cross multiply
    1,050.36x = 1,574.64 × 401.56
  4. Step 4: Simplify right side
    1,050.36x = 632,312.44
  5. Step 5: Solve for x
    x = 632,312.44/1,050.36
  6. Step 6: Final answer
    x = 602.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.