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Finding the Fourth Proportional to 875.05, 1,312.22 and 436.14

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Solution

The fourth proportional to 875.05, 1,312.22 and 436.14 is: 654.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.05 : 1,312.22 = 436.14 : x
  2. Step 2: Convert to fraction form
    875.05/1,312.22 = 436.14/x
  3. Step 3: Cross multiply
    875.05x = 1,312.22 × 436.14
  4. Step 4: Simplify right side
    875.05x = 572,313.34
  5. Step 5: Solve for x
    x = 572,313.34/875.05
  6. Step 6: Final answer
    x = 654.03

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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.