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Finding the Fourth Proportional to 918.65, 1,267.74 and 499

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Solution

The fourth proportional to 918.65, 1,267.74 and 499 is: 688.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.65 : 1,267.74 = 499 : x
  2. Step 2: Convert to fraction form
    918.65/1,267.74 = 499/x
  3. Step 3: Cross multiply
    918.65x = 1,267.74 × 499
  4. Step 4: Simplify right side
    918.65x = 632,602.26
  5. Step 5: Solve for x
    x = 632,602.26/918.65
  6. Step 6: Final answer
    x = 688.63

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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.