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Finding the Fourth Proportional to 1,503.72, 2,256.06 and 579.72

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Solution

The fourth proportional to 1,503.72, 2,256.06 and 579.72 is: 869.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.72 : 2,256.06 = 579.72 : x
  2. Step 2: Convert to fraction form
    1,503.72/2,256.06 = 579.72/x
  3. Step 3: Cross multiply
    1,503.72x = 2,256.06 × 579.72
  4. Step 4: Simplify right side
    1,503.72x = 1,307,883.10
  5. Step 5: Solve for x
    x = 1,307,883.10/1,503.72
  6. Step 6: Final answer
    x = 869.77

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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.