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Finding the Fourth Proportional to 1,051.54, 1,578.57 and 619

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Solution

The fourth proportional to 1,051.54, 1,578.57 and 619 is: 929.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.54 : 1,578.57 = 619 : x
  2. Step 2: Convert to fraction form
    1,051.54/1,578.57 = 619/x
  3. Step 3: Cross multiply
    1,051.54x = 1,578.57 × 619
  4. Step 4: Simplify right side
    1,051.54x = 977,134.83
  5. Step 5: Solve for x
    x = 977,134.83/1,051.54
  6. Step 6: Final answer
    x = 929.24

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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.