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Finding the Fourth Proportional to 931.57, 1,397.39 and 469.10

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Solution

The fourth proportional to 931.57, 1,397.39 and 469.10 is: 703.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.57 : 1,397.39 = 469.10 : x
  2. Step 2: Convert to fraction form
    931.57/1,397.39 = 469.10/x
  3. Step 3: Cross multiply
    931.57x = 1,397.39 × 469.10
  4. Step 4: Simplify right side
    931.57x = 655,515.65
  5. Step 5: Solve for x
    x = 655,515.65/931.57
  6. Step 6: Final answer
    x = 703.67

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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.