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Finding the Fourth Proportional to 1,016.48, 1,403.04 and 643.28

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Solution

The fourth proportional to 1,016.48, 1,403.04 and 643.28 is: 887.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.48 : 1,403.04 = 643.28 : x
  2. Step 2: Convert to fraction form
    1,016.48/1,403.04 = 643.28/x
  3. Step 3: Cross multiply
    1,016.48x = 1,403.04 × 643.28
  4. Step 4: Simplify right side
    1,016.48x = 902,547.57
  5. Step 5: Solve for x
    x = 902,547.57/1,016.48
  6. Step 6: Final answer
    x = 887.91

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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.