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Finding the Fourth Proportional to 696.85, 1,043.79 and 530.47

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Solution

The fourth proportional to 696.85, 1,043.79 and 530.47 is: 794.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.85 : 1,043.79 = 530.47 : x
  2. Step 2: Convert to fraction form
    696.85/1,043.79 = 530.47/x
  3. Step 3: Cross multiply
    696.85x = 1,043.79 × 530.47
  4. Step 4: Simplify right side
    696.85x = 553,701.53
  5. Step 5: Solve for x
    x = 553,701.53/696.85
  6. Step 6: Final answer
    x = 794.57

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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.