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Finding the Fourth Proportional to 907.53, 1,252.77 and 686.55

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Solution

The fourth proportional to 907.53, 1,252.77 and 686.55 is: 947.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.53 : 1,252.77 = 686.55 : x
  2. Step 2: Convert to fraction form
    907.53/1,252.77 = 686.55/x
  3. Step 3: Cross multiply
    907.53x = 1,252.77 × 686.55
  4. Step 4: Simplify right side
    907.53x = 860,089.24
  5. Step 5: Solve for x
    x = 860,089.24/907.53
  6. Step 6: Final answer
    x = 947.73

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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.