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Finding the Fourth Proportional to 1,106.38, 1,526.86 and 609.01

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Solution

The fourth proportional to 1,106.38, 1,526.86 and 609.01 is: 840.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.38 : 1,526.86 = 609.01 : x
  2. Step 2: Convert to fraction form
    1,106.38/1,526.86 = 609.01/x
  3. Step 3: Cross multiply
    1,106.38x = 1,526.86 × 609.01
  4. Step 4: Simplify right side
    1,106.38x = 929,875.30
  5. Step 5: Solve for x
    x = 929,875.30/1,106.38
  6. Step 6: Final answer
    x = 840.47

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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.