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Finding the Fourth Proportional to 1,070.64, 1,608.38 and 638.08

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Solution

The fourth proportional to 1,070.64, 1,608.38 and 638.08 is: 958.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.64 : 1,608.38 = 638.08 : x
  2. Step 2: Convert to fraction form
    1,070.64/1,608.38 = 638.08/x
  3. Step 3: Cross multiply
    1,070.64x = 1,608.38 × 638.08
  4. Step 4: Simplify right side
    1,070.64x = 1,026,275.11
  5. Step 5: Solve for x
    x = 1,026,275.11/1,070.64
  6. Step 6: Final answer
    x = 958.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.