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Finding the Fourth Proportional to 1,503.85, 2,254.70 and 578.63

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Solution

The fourth proportional to 1,503.85, 2,254.70 and 578.63 is: 867.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.85 : 2,254.70 = 578.63 : x
  2. Step 2: Convert to fraction form
    1,503.85/2,254.70 = 578.63/x
  3. Step 3: Cross multiply
    1,503.85x = 2,254.70 × 578.63
  4. Step 4: Simplify right side
    1,503.85x = 1,304,631.46
  5. Step 5: Solve for x
    x = 1,304,631.46/1,503.85
  6. Step 6: Final answer
    x = 867.53

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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.