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Finding the Fourth Proportional to 875.46, 1,312.90 and 259

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Solution

The fourth proportional to 875.46, 1,312.90 and 259 is: 388.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.46 : 1,312.90 = 259 : x
  2. Step 2: Convert to fraction form
    875.46/1,312.90 = 259/x
  3. Step 3: Cross multiply
    875.46x = 1,312.90 × 259
  4. Step 4: Simplify right side
    875.46x = 340,041.10
  5. Step 5: Solve for x
    x = 340,041.10/875.46
  6. Step 6: Final answer
    x = 388.41

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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.