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Finding the Fourth Proportional to 1,059.69, 1,457.42 and 928.47

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Solution

The fourth proportional to 1,059.69, 1,457.42 and 928.47 is: 1,276.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.69 : 1,457.42 = 928.47 : x
  2. Step 2: Convert to fraction form
    1,059.69/1,457.42 = 928.47/x
  3. Step 3: Cross multiply
    1,059.69x = 1,457.42 × 928.47
  4. Step 4: Simplify right side
    1,059.69x = 1,353,166.11
  5. Step 5: Solve for x
    x = 1,353,166.11/1,059.69
  6. Step 6: Final answer
    x = 1,276.95

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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.