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Finding the Fourth Proportional to 1,402.08, 2,104.16 and 525.40

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Solution

The fourth proportional to 1,402.08, 2,104.16 and 525.40 is: 788.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.08 : 2,104.16 = 525.40 : x
  2. Step 2: Convert to fraction form
    1,402.08/2,104.16 = 525.40/x
  3. Step 3: Cross multiply
    1,402.08x = 2,104.16 × 525.40
  4. Step 4: Simplify right side
    1,402.08x = 1,105,525.66
  5. Step 5: Solve for x
    x = 1,105,525.66/1,402.08
  6. Step 6: Final answer
    x = 788.49

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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.