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Finding the Fourth Proportional to 1,509.87, 2,263.40 and 586.03

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Solution

The fourth proportional to 1,509.87, 2,263.40 and 586.03 is: 878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.87 : 2,263.40 = 586.03 : x
  2. Step 2: Convert to fraction form
    1,509.87/2,263.40 = 586.03/x
  3. Step 3: Cross multiply
    1,509.87x = 2,263.40 × 586.03
  4. Step 4: Simplify right side
    1,509.87x = 1,326,420.30
  5. Step 5: Solve for x
    x = 1,326,420.30/1,509.87
  6. Step 6: Final answer
    x = 878.50

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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.