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Finding the Fourth Proportional to 875.48, 1,208.50 and 565

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Solution

The fourth proportional to 875.48, 1,208.50 and 565 is: 779.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.48 : 1,208.50 = 565 : x
  2. Step 2: Convert to fraction form
    875.48/1,208.50 = 565/x
  3. Step 3: Cross multiply
    875.48x = 1,208.50 × 565
  4. Step 4: Simplify right side
    875.48x = 682,802.50
  5. Step 5: Solve for x
    x = 682,802.50/875.48
  6. Step 6: Final answer
    x = 779.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.