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Finding the Fourth Proportional to 877.54, 1,315.96 and 390.26

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Solution

The fourth proportional to 877.54, 1,315.96 and 390.26 is: 585.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.54 : 1,315.96 = 390.26 : x
  2. Step 2: Convert to fraction form
    877.54/1,315.96 = 390.26/x
  3. Step 3: Cross multiply
    877.54x = 1,315.96 × 390.26
  4. Step 4: Simplify right side
    877.54x = 513,566.55
  5. Step 5: Solve for x
    x = 513,566.55/877.54
  6. Step 6: Final answer
    x = 585.23

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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.