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Finding the Fourth Proportional to 720, 992.88 and 524.16

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Solution

The fourth proportional to 720, 992.88 and 524.16 is: 722.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    720 : 992.88 = 524.16 : x
  2. Step 2: Convert to fraction form
    720/992.88 = 524.16/x
  3. Step 3: Cross multiply
    720x = 992.88 × 524.16
  4. Step 4: Simplify right side
    720x = 520,427.98
  5. Step 5: Solve for x
    x = 520,427.98/720
  6. Step 6: Final answer
    x = 722.82

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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.