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Finding the Fourth Proportional to 1,106.05, 1,526.35 and 608.72

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Solution

The fourth proportional to 1,106.05, 1,526.35 and 608.72 is: 840.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.05 : 1,526.35 = 608.72 : x
  2. Step 2: Convert to fraction form
    1,106.05/1,526.35 = 608.72/x
  3. Step 3: Cross multiply
    1,106.05x = 1,526.35 × 608.72
  4. Step 4: Simplify right side
    1,106.05x = 929,118.06
  5. Step 5: Solve for x
    x = 929,118.06/1,106.05
  6. Step 6: Final answer
    x = 840.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.