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Finding the Fourth Proportional to 720.16, 993.60 and 510.16

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Solution

The fourth proportional to 720.16, 993.60 and 510.16 is: 703.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.16 : 993.60 = 510.16 : x
  2. Step 2: Convert to fraction form
    720.16/993.60 = 510.16/x
  3. Step 3: Cross multiply
    720.16x = 993.60 × 510.16
  4. Step 4: Simplify right side
    720.16x = 506,894.98
  5. Step 5: Solve for x
    x = 506,894.98/720.16
  6. Step 6: Final answer
    x = 703.86

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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.