Home / 1,025.02-1,534.26-537.40

Finding the Fourth Proportional to 1,025.02, 1,534.26 and 537.40

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Solution

The fourth proportional to 1,025.02, 1,534.26 and 537.40 is: 804.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.02 : 1,534.26 = 537.40 : x
  2. Step 2: Convert to fraction form
    1,025.02/1,534.26 = 537.40/x
  3. Step 3: Cross multiply
    1,025.02x = 1,534.26 × 537.40
  4. Step 4: Simplify right side
    1,025.02x = 824,511.32
  5. Step 5: Solve for x
    x = 824,511.32/1,025.02
  6. Step 6: Final answer
    x = 804.39

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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.