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Finding the Fourth Proportional to 1,528.71, 2,292.08 and 554.69

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Solution

The fourth proportional to 1,528.71, 2,292.08 and 554.69 is: 831.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.71 : 2,292.08 = 554.69 : x
  2. Step 2: Convert to fraction form
    1,528.71/2,292.08 = 554.69/x
  3. Step 3: Cross multiply
    1,528.71x = 2,292.08 × 554.69
  4. Step 4: Simplify right side
    1,528.71x = 1,271,379.62
  5. Step 5: Solve for x
    x = 1,271,379.62/1,528.71
  6. Step 6: Final answer
    x = 831.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.