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Finding the Fourth Proportional to 1,347.07, 2,021.36 and 525.40

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Solution

The fourth proportional to 1,347.07, 2,021.36 and 525.40 is: 788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.07 : 2,021.36 = 525.40 : x
  2. Step 2: Convert to fraction form
    1,347.07/2,021.36 = 525.40/x
  3. Step 3: Cross multiply
    1,347.07x = 2,021.36 × 525.40
  4. Step 4: Simplify right side
    1,347.07x = 1,062,009.81
  5. Step 5: Solve for x
    x = 1,062,009.81/1,347.07
  6. Step 6: Final answer
    x = 788.39

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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.