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Finding the Fourth Proportional to 1,402.77, 2,104.93 and 525.23

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Solution

The fourth proportional to 1,402.77, 2,104.93 and 525.23 is: 788.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.77 : 2,104.93 = 525.23 : x
  2. Step 2: Convert to fraction form
    1,402.77/2,104.93 = 525.23/x
  3. Step 3: Cross multiply
    1,402.77x = 2,104.93 × 525.23
  4. Step 4: Simplify right side
    1,402.77x = 1,105,580.77
  5. Step 5: Solve for x
    x = 1,105,580.77/1,402.77
  6. Step 6: Final answer
    x = 788.14

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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.