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Finding the Fourth Proportional to 746.77, 1,030.51 and 415.19

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Solution

The fourth proportional to 746.77, 1,030.51 and 415.19 is: 572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.77 : 1,030.51 = 415.19 : x
  2. Step 2: Convert to fraction form
    746.77/1,030.51 = 415.19/x
  3. Step 3: Cross multiply
    746.77x = 1,030.51 × 415.19
  4. Step 4: Simplify right side
    746.77x = 427,852.29
  5. Step 5: Solve for x
    x = 427,852.29/746.77
  6. Step 6: Final answer
    x = 572.94

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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.