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Finding the Fourth Proportional to 707.02, 1,058.10 and 433.24

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Solution

The fourth proportional to 707.02, 1,058.10 and 433.24 is: 648.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.02 : 1,058.10 = 433.24 : x
  2. Step 2: Convert to fraction form
    707.02/1,058.10 = 433.24/x
  3. Step 3: Cross multiply
    707.02x = 1,058.10 × 433.24
  4. Step 4: Simplify right side
    707.02x = 458,411.24
  5. Step 5: Solve for x
    x = 458,411.24/707.02
  6. Step 6: Final answer
    x = 648.37

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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.