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Finding the Fourth Proportional to 1,526.58, 2,289.62 and 486.45

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Solution

The fourth proportional to 1,526.58, 2,289.62 and 486.45 is: 729.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.58 : 2,289.62 = 486.45 : x
  2. Step 2: Convert to fraction form
    1,526.58/2,289.62 = 486.45/x
  3. Step 3: Cross multiply
    1,526.58x = 2,289.62 × 486.45
  4. Step 4: Simplify right side
    1,526.58x = 1,113,783.22
  5. Step 5: Solve for x
    x = 1,113,783.22/1,526.58
  6. Step 6: Final answer
    x = 729.59

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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.