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Finding the Fourth Proportional to 1,526.52, 2,291 and 553.32

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Solution

The fourth proportional to 1,526.52, 2,291 and 553.32 is: 830.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.52 : 2,291 = 553.32 : x
  2. Step 2: Convert to fraction form
    1,526.52/2,291 = 553.32/x
  3. Step 3: Cross multiply
    1,526.52x = 2,291 × 553.32
  4. Step 4: Simplify right side
    1,526.52x = 1,267,656.12
  5. Step 5: Solve for x
    x = 1,267,656.12/1,526.52
  6. Step 6: Final answer
    x = 830.42

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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.