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Finding the Fourth Proportional to 1,526.16, 2,289.53 and 693.62

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Solution

The fourth proportional to 1,526.16, 2,289.53 and 693.62 is: 1,040.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.16 : 2,289.53 = 693.62 : x
  2. Step 2: Convert to fraction form
    1,526.16/2,289.53 = 693.62/x
  3. Step 3: Cross multiply
    1,526.16x = 2,289.53 × 693.62
  4. Step 4: Simplify right side
    1,526.16x = 1,588,048.88
  5. Step 5: Solve for x
    x = 1,588,048.88/1,526.16
  6. Step 6: Final answer
    x = 1,040.55

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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.