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Finding the Fourth Proportional to 741.90, 1,024.04 and 520.91

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Solution

The fourth proportional to 741.90, 1,024.04 and 520.91 is: 719.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.90 : 1,024.04 = 520.91 : x
  2. Step 2: Convert to fraction form
    741.90/1,024.04 = 520.91/x
  3. Step 3: Cross multiply
    741.90x = 1,024.04 × 520.91
  4. Step 4: Simplify right side
    741.90x = 533,424.95
  5. Step 5: Solve for x
    x = 533,424.95/741.90
  6. Step 6: Final answer
    x = 719.00

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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.