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Finding the Fourth Proportional to 716.89, 1,075.32 and 346.74

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Solution

The fourth proportional to 716.89, 1,075.32 and 346.74 is: 520.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.89 : 1,075.32 = 346.74 : x
  2. Step 2: Convert to fraction form
    716.89/1,075.32 = 346.74/x
  3. Step 3: Cross multiply
    716.89x = 1,075.32 × 346.74
  4. Step 4: Simplify right side
    716.89x = 372,856.46
  5. Step 5: Solve for x
    x = 372,856.46/716.89
  6. Step 6: Final answer
    x = 520.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.