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Finding the Fourth Proportional to 1,402.22, 2,102.59 and 524.00

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Solution

The fourth proportional to 1,402.22, 2,102.59 and 524.00 is: 785.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.22 : 2,102.59 = 524.00 : x
  2. Step 2: Convert to fraction form
    1,402.22/2,102.59 = 524.00/x
  3. Step 3: Cross multiply
    1,402.22x = 2,102.59 × 524.00
  4. Step 4: Simplify right side
    1,402.22x = 1,101,745.34
  5. Step 5: Solve for x
    x = 1,101,745.34/1,402.22
  6. Step 6: Final answer
    x = 785.72

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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.