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Finding the Fourth Proportional to 716.84, 1,075.25 and 473.30

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Solution

The fourth proportional to 716.84, 1,075.25 and 473.30 is: 709.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.84 : 1,075.25 = 473.30 : x
  2. Step 2: Convert to fraction form
    716.84/1,075.25 = 473.30/x
  3. Step 3: Cross multiply
    716.84x = 1,075.25 × 473.30
  4. Step 4: Simplify right side
    716.84x = 508,913.46
  5. Step 5: Solve for x
    x = 508,913.46/716.84
  6. Step 6: Final answer
    x = 709.95

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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.