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Finding the Fourth Proportional to 657.12, 907.20 and 591.60

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Solution

The fourth proportional to 657.12, 907.20 and 591.60 is: 816.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.12 : 907.20 = 591.60 : x
  2. Step 2: Convert to fraction form
    657.12/907.20 = 591.60/x
  3. Step 3: Cross multiply
    657.12x = 907.20 × 591.60
  4. Step 4: Simplify right side
    657.12x = 536,699.52
  5. Step 5: Solve for x
    x = 536,699.52/657.12
  6. Step 6: Final answer
    x = 816.75

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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.