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Finding the Fourth Proportional to 1,050.64, 1,576.18 and 401.38

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Solution

The fourth proportional to 1,050.64, 1,576.18 and 401.38 is: 602.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.64 : 1,576.18 = 401.38 : x
  2. Step 2: Convert to fraction form
    1,050.64/1,576.18 = 401.38/x
  3. Step 3: Cross multiply
    1,050.64x = 1,576.18 × 401.38
  4. Step 4: Simplify right side
    1,050.64x = 632,647.13
  5. Step 5: Solve for x
    x = 632,647.13/1,050.64
  6. Step 6: Final answer
    x = 602.15

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Why These Related Problems?

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