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Finding the Fourth Proportional to 907.16, 1,252.98 and 658.08

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Solution

The fourth proportional to 907.16, 1,252.98 and 658.08 is: 908.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.16 : 1,252.98 = 658.08 : x
  2. Step 2: Convert to fraction form
    907.16/1,252.98 = 658.08/x
  3. Step 3: Cross multiply
    907.16x = 1,252.98 × 658.08
  4. Step 4: Simplify right side
    907.16x = 824,561.08
  5. Step 5: Solve for x
    x = 824,561.08/907.16
  6. Step 6: Final answer
    x = 908.95

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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.