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Finding the Fourth Proportional to 1,526.69, 2,289.98 and 486.70

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Solution

The fourth proportional to 1,526.69, 2,289.98 and 486.70 is: 730.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.69 : 2,289.98 = 486.70 : x
  2. Step 2: Convert to fraction form
    1,526.69/2,289.98 = 486.70/x
  3. Step 3: Cross multiply
    1,526.69x = 2,289.98 × 486.70
  4. Step 4: Simplify right side
    1,526.69x = 1,114,528.76
  5. Step 5: Solve for x
    x = 1,114,528.76/1,526.69
  6. Step 6: Final answer
    x = 730.03

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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.