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Finding the Fourth Proportional to 1,111.60, 1,664.72 and 647.92

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Solution

The fourth proportional to 1,111.60, 1,664.72 and 647.92 is: 970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.60 : 1,664.72 = 647.92 : x
  2. Step 2: Convert to fraction form
    1,111.60/1,664.72 = 647.92/x
  3. Step 3: Cross multiply
    1,111.60x = 1,664.72 × 647.92
  4. Step 4: Simplify right side
    1,111.60x = 1,078,605.38
  5. Step 5: Solve for x
    x = 1,078,605.38/1,111.60
  6. Step 6: Final answer
    x = 970.32

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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.