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Finding the Fourth Proportional to 1,527.95, 2,291.25 and 554.06

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Solution

The fourth proportional to 1,527.95, 2,291.25 and 554.06 is: 830.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.95 : 2,291.25 = 554.06 : x
  2. Step 2: Convert to fraction form
    1,527.95/2,291.25 = 554.06/x
  3. Step 3: Cross multiply
    1,527.95x = 2,291.25 × 554.06
  4. Step 4: Simplify right side
    1,527.95x = 1,269,489.98
  5. Step 5: Solve for x
    x = 1,269,489.98/1,527.95
  6. Step 6: Final answer
    x = 830.85

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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.