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Finding the Fourth Proportional to 877.21, 1,313.49 and 530.05

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Solution

The fourth proportional to 877.21, 1,313.49 and 530.05 is: 793.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.21 : 1,313.49 = 530.05 : x
  2. Step 2: Convert to fraction form
    877.21/1,313.49 = 530.05/x
  3. Step 3: Cross multiply
    877.21x = 1,313.49 × 530.05
  4. Step 4: Simplify right side
    877.21x = 696,215.37
  5. Step 5: Solve for x
    x = 696,215.37/877.21
  6. Step 6: Final answer
    x = 793.67

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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.