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Finding the Fourth Proportional to 1,050.10, 1,449.14 and 578.03

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Solution

The fourth proportional to 1,050.10, 1,449.14 and 578.03 is: 797.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.10 : 1,449.14 = 578.03 : x
  2. Step 2: Convert to fraction form
    1,050.10/1,449.14 = 578.03/x
  3. Step 3: Cross multiply
    1,050.10x = 1,449.14 × 578.03
  4. Step 4: Simplify right side
    1,050.10x = 837,636.26
  5. Step 5: Solve for x
    x = 837,636.26/1,050.10
  6. Step 6: Final answer
    x = 797.67

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Why These Related Problems?

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