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Finding the Fourth Proportional to 908.42, 1,254.59 and 707.04

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Solution

The fourth proportional to 908.42, 1,254.59 and 707.04 is: 976.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.42 : 1,254.59 = 707.04 : x
  2. Step 2: Convert to fraction form
    908.42/1,254.59 = 707.04/x
  3. Step 3: Cross multiply
    908.42x = 1,254.59 × 707.04
  4. Step 4: Simplify right side
    908.42x = 887,041.78
  5. Step 5: Solve for x
    x = 887,041.78/908.42
  6. Step 6: Final answer
    x = 976.47

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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.