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Finding the Fourth Proportional to 877.70, 1,315.91 and 467.03

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Solution

The fourth proportional to 877.70, 1,315.91 and 467.03 is: 700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.70 : 1,315.91 = 467.03 : x
  2. Step 2: Convert to fraction form
    877.70/1,315.91 = 467.03/x
  3. Step 3: Cross multiply
    877.70x = 1,315.91 × 467.03
  4. Step 4: Simplify right side
    877.70x = 614,564.04
  5. Step 5: Solve for x
    x = 614,564.04/877.70
  6. Step 6: Final answer
    x = 700.20

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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.