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Finding the Fourth Proportional to 708.45, 1,062.16 and 476.76

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Solution

The fourth proportional to 708.45, 1,062.16 and 476.76 is: 714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.45 : 1,062.16 = 476.76 : x
  2. Step 2: Convert to fraction form
    708.45/1,062.16 = 476.76/x
  3. Step 3: Cross multiply
    708.45x = 1,062.16 × 476.76
  4. Step 4: Simplify right side
    708.45x = 506,393.02
  5. Step 5: Solve for x
    x = 506,393.02/708.45
  6. Step 6: Final answer
    x = 714.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.