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Finding the Fourth Proportional to 795.14, 1,097.67 and 530.02

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Solution

The fourth proportional to 795.14, 1,097.67 and 530.02 is: 731.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.14 : 1,097.67 = 530.02 : x
  2. Step 2: Convert to fraction form
    795.14/1,097.67 = 530.02/x
  3. Step 3: Cross multiply
    795.14x = 1,097.67 × 530.02
  4. Step 4: Simplify right side
    795.14x = 581,778.91
  5. Step 5: Solve for x
    x = 581,778.91/795.14
  6. Step 6: Final answer
    x = 731.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.