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Finding the Fourth Proportional to 1,267.04, 1,899.01 and 573.53

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Solution

The fourth proportional to 1,267.04, 1,899.01 and 573.53 is: 859.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.04 : 1,899.01 = 573.53 : x
  2. Step 2: Convert to fraction form
    1,267.04/1,899.01 = 573.53/x
  3. Step 3: Cross multiply
    1,267.04x = 1,899.01 × 573.53
  4. Step 4: Simplify right side
    1,267.04x = 1,089,130.43
  5. Step 5: Solve for x
    x = 1,089,130.43/1,267.04
  6. Step 6: Final answer
    x = 859.58

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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.