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Finding the Fourth Proportional to 1,655.34, 2,483.01 and 501.09

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Solution

The fourth proportional to 1,655.34, 2,483.01 and 501.09 is: 751.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.34 : 2,483.01 = 501.09 : x
  2. Step 2: Convert to fraction form
    1,655.34/2,483.01 = 501.09/x
  3. Step 3: Cross multiply
    1,655.34x = 2,483.01 × 501.09
  4. Step 4: Simplify right side
    1,655.34x = 1,244,211.48
  5. Step 5: Solve for x
    x = 1,244,211.48/1,655.34
  6. Step 6: Final answer
    x = 751.64

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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.