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Finding the Fourth Proportional to 1,106.34, 1,526.70 and 609

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Solution

The fourth proportional to 1,106.34, 1,526.70 and 609 is: 840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.34 : 1,526.70 = 609 : x
  2. Step 2: Convert to fraction form
    1,106.34/1,526.70 = 609/x
  3. Step 3: Cross multiply
    1,106.34x = 1,526.70 × 609
  4. Step 4: Simplify right side
    1,106.34x = 929,760.30
  5. Step 5: Solve for x
    x = 929,760.30/1,106.34
  6. Step 6: Final answer
    x = 840.39

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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.