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Finding the Fourth Proportional to 647.10, 894.10 and 500.99

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Solution

The fourth proportional to 647.10, 894.10 and 500.99 is: 692.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.10 : 894.10 = 500.99 : x
  2. Step 2: Convert to fraction form
    647.10/894.10 = 500.99/x
  3. Step 3: Cross multiply
    647.10x = 894.10 × 500.99
  4. Step 4: Simplify right side
    647.10x = 447,935.16
  5. Step 5: Solve for x
    x = 447,935.16/647.10
  6. Step 6: Final answer
    x = 692.22

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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.