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Finding the Fourth Proportional to 1,106.39, 1,526.86 and 609.04

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Solution

The fourth proportional to 1,106.39, 1,526.86 and 609.04 is: 840.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.39 : 1,526.86 = 609.04 : x
  2. Step 2: Convert to fraction form
    1,106.39/1,526.86 = 609.04/x
  3. Step 3: Cross multiply
    1,106.39x = 1,526.86 × 609.04
  4. Step 4: Simplify right side
    1,106.39x = 929,918.81
  5. Step 5: Solve for x
    x = 929,918.81/1,106.39
  6. Step 6: Final answer
    x = 840.50

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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.