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Finding the Fourth Proportional to 696.86, 959.47 and 530.54

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Solution

The fourth proportional to 696.86, 959.47 and 530.54 is: 730.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.86 : 959.47 = 530.54 : x
  2. Step 2: Convert to fraction form
    696.86/959.47 = 530.54/x
  3. Step 3: Cross multiply
    696.86x = 959.47 × 530.54
  4. Step 4: Simplify right side
    696.86x = 509,031.09
  5. Step 5: Solve for x
    x = 509,031.09/696.86
  6. Step 6: Final answer
    x = 730.47

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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.