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Finding the Fourth Proportional to 1,070.91, 1,478.52 and 678.60

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Solution

The fourth proportional to 1,070.91, 1,478.52 and 678.60 is: 936.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.91 : 1,478.52 = 678.60 : x
  2. Step 2: Convert to fraction form
    1,070.91/1,478.52 = 678.60/x
  3. Step 3: Cross multiply
    1,070.91x = 1,478.52 × 678.60
  4. Step 4: Simplify right side
    1,070.91x = 1,003,323.67
  5. Step 5: Solve for x
    x = 1,003,323.67/1,070.91
  6. Step 6: Final answer
    x = 936.89

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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.