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Finding the Fourth Proportional to 1,070.94, 1,596.81 and 1,051.50

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Solution

The fourth proportional to 1,070.94, 1,596.81 and 1,051.50 is: 1,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.94 : 1,596.81 = 1,051.50 : x
  2. Step 2: Convert to fraction form
    1,070.94/1,596.81 = 1,051.50/x
  3. Step 3: Cross multiply
    1,070.94x = 1,596.81 × 1,051.50
  4. Step 4: Simplify right side
    1,070.94x = 1,679,045.72
  5. Step 5: Solve for x
    x = 1,679,045.72/1,070.94
  6. Step 6: Final answer
    x = 1,567.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.