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Finding the Fourth Proportional to 1,526.03, 2,289.63 and 552.20

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Solution

The fourth proportional to 1,526.03, 2,289.63 and 552.20 is: 828.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.03 : 2,289.63 = 552.20 : x
  2. Step 2: Convert to fraction form
    1,526.03/2,289.63 = 552.20/x
  3. Step 3: Cross multiply
    1,526.03x = 2,289.63 × 552.20
  4. Step 4: Simplify right side
    1,526.03x = 1,264,322.24
  5. Step 5: Solve for x
    x = 1,264,322.24/1,526.03
  6. Step 6: Final answer
    x = 828.51

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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.