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Finding the Fourth Proportional to 1,106.35, 1,526.74 and 608.94

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Solution

The fourth proportional to 1,106.35, 1,526.74 and 608.94 is: 840.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.35 : 1,526.74 = 608.94 : x
  2. Step 2: Convert to fraction form
    1,106.35/1,526.74 = 608.94/x
  3. Step 3: Cross multiply
    1,106.35x = 1,526.74 × 608.94
  4. Step 4: Simplify right side
    1,106.35x = 929,691.53
  5. Step 5: Solve for x
    x = 929,691.53/1,106.35
  6. Step 6: Final answer
    x = 840.33

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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.