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Finding the Fourth Proportional to 746.25, 1,030.43 and 647.03

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Solution

The fourth proportional to 746.25, 1,030.43 and 647.03 is: 893.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.25 : 1,030.43 = 647.03 : x
  2. Step 2: Convert to fraction form
    746.25/1,030.43 = 647.03/x
  3. Step 3: Cross multiply
    746.25x = 1,030.43 × 647.03
  4. Step 4: Simplify right side
    746.25x = 666,715.59
  5. Step 5: Solve for x
    x = 666,715.59/746.25
  6. Step 6: Final answer
    x = 893.42

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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.