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Finding the Fourth Proportional to 648.76, 894.16 and 501.08

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Solution

The fourth proportional to 648.76, 894.16 and 501.08 is: 690.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.76 : 894.16 = 501.08 : x
  2. Step 2: Convert to fraction form
    648.76/894.16 = 501.08/x
  3. Step 3: Cross multiply
    648.76x = 894.16 × 501.08
  4. Step 4: Simplify right side
    648.76x = 448,045.69
  5. Step 5: Solve for x
    x = 448,045.69/648.76
  6. Step 6: Final answer
    x = 690.62

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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.