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Finding the Fourth Proportional to 1,526.25, 2,289.39 and 500.25

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Solution

The fourth proportional to 1,526.25, 2,289.39 and 500.25 is: 750.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.25 : 2,289.39 = 500.25 : x
  2. Step 2: Convert to fraction form
    1,526.25/2,289.39 = 500.25/x
  3. Step 3: Cross multiply
    1,526.25x = 2,289.39 × 500.25
  4. Step 4: Simplify right side
    1,526.25x = 1,145,267.35
  5. Step 5: Solve for x
    x = 1,145,267.35/1,526.25
  6. Step 6: Final answer
    x = 750.38

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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.