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Finding the Fourth Proportional to 1,106.09, 1,526.49 and 634.14

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Solution

The fourth proportional to 1,106.09, 1,526.49 and 634.14 is: 875.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.09 : 1,526.49 = 634.14 : x
  2. Step 2: Convert to fraction form
    1,106.09/1,526.49 = 634.14/x
  3. Step 3: Cross multiply
    1,106.09x = 1,526.49 × 634.14
  4. Step 4: Simplify right side
    1,106.09x = 968,008.37
  5. Step 5: Solve for x
    x = 968,008.37/1,106.09
  6. Step 6: Final answer
    x = 875.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.