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Finding the Fourth Proportional to 657.46, 985.93 and 527.77

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Solution

The fourth proportional to 657.46, 985.93 and 527.77 is: 791.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.46 : 985.93 = 527.77 : x
  2. Step 2: Convert to fraction form
    657.46/985.93 = 527.77/x
  3. Step 3: Cross multiply
    657.46x = 985.93 × 527.77
  4. Step 4: Simplify right side
    657.46x = 520,341.64
  5. Step 5: Solve for x
    x = 520,341.64/657.46
  6. Step 6: Final answer
    x = 791.45

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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.