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Finding the Fourth Proportional to 985.15, 1,475.70 and 497.13

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Solution

The fourth proportional to 985.15, 1,475.70 and 497.13 is: 744.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.15 : 1,475.70 = 497.13 : x
  2. Step 2: Convert to fraction form
    985.15/1,475.70 = 497.13/x
  3. Step 3: Cross multiply
    985.15x = 1,475.70 × 497.13
  4. Step 4: Simplify right side
    985.15x = 733,614.74
  5. Step 5: Solve for x
    x = 733,614.74/985.15
  6. Step 6: Final answer
    x = 744.67

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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.