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Finding the Fourth Proportional to 649.93, 975.64 and 534.58

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Solution

The fourth proportional to 649.93, 975.64 and 534.58 is: 802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.93 : 975.64 = 534.58 : x
  2. Step 2: Convert to fraction form
    649.93/975.64 = 534.58/x
  3. Step 3: Cross multiply
    649.93x = 975.64 × 534.58
  4. Step 4: Simplify right side
    649.93x = 521,557.63
  5. Step 5: Solve for x
    x = 521,557.63/649.93
  6. Step 6: Final answer
    x = 802.48

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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.