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Finding the Fourth Proportional to 713.85, 1,068.95 and 632.45

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Solution

The fourth proportional to 713.85, 1,068.95 and 632.45 is: 947.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.85 : 1,068.95 = 632.45 : x
  2. Step 2: Convert to fraction form
    713.85/1,068.95 = 632.45/x
  3. Step 3: Cross multiply
    713.85x = 1,068.95 × 632.45
  4. Step 4: Simplify right side
    713.85x = 676,057.43
  5. Step 5: Solve for x
    x = 676,057.43/713.85
  6. Step 6: Final answer
    x = 947.06

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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.