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Finding the Fourth Proportional to 1,106.52, 1,526.95 and 609.13

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Solution

The fourth proportional to 1,106.52, 1,526.95 and 609.13 is: 840.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.52 : 1,526.95 = 609.13 : x
  2. Step 2: Convert to fraction form
    1,106.52/1,526.95 = 609.13/x
  3. Step 3: Cross multiply
    1,106.52x = 1,526.95 × 609.13
  4. Step 4: Simplify right side
    1,106.52x = 930,111.05
  5. Step 5: Solve for x
    x = 930,111.05/1,106.52
  6. Step 6: Final answer
    x = 840.57

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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.