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Finding the Fourth Proportional to 1,402.47, 2,104.65 and 525.76

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Solution

The fourth proportional to 1,402.47, 2,104.65 and 525.76 is: 788.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.47 : 2,104.65 = 525.76 : x
  2. Step 2: Convert to fraction form
    1,402.47/2,104.65 = 525.76/x
  3. Step 3: Cross multiply
    1,402.47x = 2,104.65 × 525.76
  4. Step 4: Simplify right side
    1,402.47x = 1,106,535.52
  5. Step 5: Solve for x
    x = 1,106,535.52/1,402.47
  6. Step 6: Final answer
    x = 788.99

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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.