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Finding the Fourth Proportional to 1,106.30, 1,526.60 and 634.19

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Solution

The fourth proportional to 1,106.30, 1,526.60 and 634.19 is: 875.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.30 : 1,526.60 = 634.19 : x
  2. Step 2: Convert to fraction form
    1,106.30/1,526.60 = 634.19/x
  3. Step 3: Cross multiply
    1,106.30x = 1,526.60 × 634.19
  4. Step 4: Simplify right side
    1,106.30x = 968,148.41
  5. Step 5: Solve for x
    x = 968,148.41/1,106.30
  6. Step 6: Final answer
    x = 875.13

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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.