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Finding the Fourth Proportional to 875.42, 1,312.37 and 436.40

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Solution

The fourth proportional to 875.42, 1,312.37 and 436.40 is: 654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.42 : 1,312.37 = 436.40 : x
  2. Step 2: Convert to fraction form
    875.42/1,312.37 = 436.40/x
  3. Step 3: Cross multiply
    875.42x = 1,312.37 × 436.40
  4. Step 4: Simplify right side
    875.42x = 572,716.08
  5. Step 5: Solve for x
    x = 572,716.08/875.42
  6. Step 6: Final answer
    x = 654.22

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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.