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Finding the Fourth Proportional to 691.60, 1,037.40 and 509.80

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Solution

The fourth proportional to 691.60, 1,037.40 and 509.80 is: 764.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.60 : 1,037.40 = 509.80 : x
  2. Step 2: Convert to fraction form
    691.60/1,037.40 = 509.80/x
  3. Step 3: Cross multiply
    691.60x = 1,037.40 × 509.80
  4. Step 4: Simplify right side
    691.60x = 528,866.52
  5. Step 5: Solve for x
    x = 528,866.52/691.60
  6. Step 6: Final answer
    x = 764.70

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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.