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Finding the Fourth Proportional to 985.29, 1,475.90 and 711.93

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Solution

The fourth proportional to 985.29, 1,475.90 and 711.93 is: 1,066.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.29 : 1,475.90 = 711.93 : x
  2. Step 2: Convert to fraction form
    985.29/1,475.90 = 711.93/x
  3. Step 3: Cross multiply
    985.29x = 1,475.90 × 711.93
  4. Step 4: Simplify right side
    985.29x = 1,050,737.49
  5. Step 5: Solve for x
    x = 1,050,737.49/985.29
  6. Step 6: Final answer
    x = 1,066.42

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Why These Related Problems?

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