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Finding the Fourth Proportional to 616.44, 918.64 and 598.67

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Solution

The fourth proportional to 616.44, 918.64 and 598.67 is: 892.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.44 : 918.64 = 598.67 : x
  2. Step 2: Convert to fraction form
    616.44/918.64 = 598.67/x
  3. Step 3: Cross multiply
    616.44x = 918.64 × 598.67
  4. Step 4: Simplify right side
    616.44x = 549,962.21
  5. Step 5: Solve for x
    x = 549,962.21/616.44
  6. Step 6: Final answer
    x = 892.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.