Home / 1,509.20-2,263.74-535.26

Finding the Fourth Proportional to 1,509.20, 2,263.74 and 535.26

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Solution

The fourth proportional to 1,509.20, 2,263.74 and 535.26 is: 802.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.20 : 2,263.74 = 535.26 : x
  2. Step 2: Convert to fraction form
    1,509.20/2,263.74 = 535.26/x
  3. Step 3: Cross multiply
    1,509.20x = 2,263.74 × 535.26
  4. Step 4: Simplify right side
    1,509.20x = 1,211,689.47
  5. Step 5: Solve for x
    x = 1,211,689.47/1,509.20
  6. Step 6: Final answer
    x = 802.87

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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.