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Finding the Fourth Proportional to 1,303.76, 1,954 and 572.56

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Solution

The fourth proportional to 1,303.76, 1,954 and 572.56 is: 858.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.76 : 1,954 = 572.56 : x
  2. Step 2: Convert to fraction form
    1,303.76/1,954 = 572.56/x
  3. Step 3: Cross multiply
    1,303.76x = 1,954 × 572.56
  4. Step 4: Simplify right side
    1,303.76x = 1,118,782.24
  5. Step 5: Solve for x
    x = 1,118,782.24/1,303.76
  6. Step 6: Final answer
    x = 858.12

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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.