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Finding the Fourth Proportional to 677.16, 933.93 and 527.49

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Solution

The fourth proportional to 677.16, 933.93 and 527.49 is: 727.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.16 : 933.93 = 527.49 : x
  2. Step 2: Convert to fraction form
    677.16/933.93 = 527.49/x
  3. Step 3: Cross multiply
    677.16x = 933.93 × 527.49
  4. Step 4: Simplify right side
    677.16x = 492,638.74
  5. Step 5: Solve for x
    x = 492,638.74/677.16
  6. Step 6: Final answer
    x = 727.51

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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.