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Finding the Fourth Proportional to 1,762.49, 2,643.73 and 530.00

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Solution

The fourth proportional to 1,762.49, 2,643.73 and 530.00 is: 794.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.49 : 2,643.73 = 530.00 : x
  2. Step 2: Convert to fraction form
    1,762.49/2,643.73 = 530.00/x
  3. Step 3: Cross multiply
    1,762.49x = 2,643.73 × 530.00
  4. Step 4: Simplify right side
    1,762.49x = 1,401,163.68
  5. Step 5: Solve for x
    x = 1,401,163.68/1,762.49
  6. Step 6: Final answer
    x = 794.99

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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.