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Finding the Fourth Proportional to 1,095.69, 1,641.99 and 478.10

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Solution

The fourth proportional to 1,095.69, 1,641.99 and 478.10 is: 716.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.69 : 1,641.99 = 478.10 : x
  2. Step 2: Convert to fraction form
    1,095.69/1,641.99 = 478.10/x
  3. Step 3: Cross multiply
    1,095.69x = 1,641.99 × 478.10
  4. Step 4: Simplify right side
    1,095.69x = 785,038.63
  5. Step 5: Solve for x
    x = 785,038.63/1,095.69
  6. Step 6: Final answer
    x = 716.48

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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.