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Finding the Fourth Proportional to 710.02, 1,063.67 and 537.80

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Solution

The fourth proportional to 710.02, 1,063.67 and 537.80 is: 805.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.02 : 1,063.67 = 537.80 : x
  2. Step 2: Convert to fraction form
    710.02/1,063.67 = 537.80/x
  3. Step 3: Cross multiply
    710.02x = 1,063.67 × 537.80
  4. Step 4: Simplify right side
    710.02x = 572,041.73
  5. Step 5: Solve for x
    x = 572,041.73/710.02
  6. Step 6: Final answer
    x = 805.67

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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.