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Finding the Fourth Proportional to 1,763.03, 2,643.75 and 530.21

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Solution

The fourth proportional to 1,763.03, 2,643.75 and 530.21 is: 795.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.03 : 2,643.75 = 530.21 : x
  2. Step 2: Convert to fraction form
    1,763.03/2,643.75 = 530.21/x
  3. Step 3: Cross multiply
    1,763.03x = 2,643.75 × 530.21
  4. Step 4: Simplify right side
    1,763.03x = 1,401,729.47
  5. Step 5: Solve for x
    x = 1,401,729.47/1,763.03
  6. Step 6: Final answer
    x = 795.07

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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.