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Finding the Fourth Proportional to 910.50, 1,363.74 and 714.18

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Solution

The fourth proportional to 910.50, 1,363.74 and 714.18 is: 1,069.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.50 : 1,363.74 = 714.18 : x
  2. Step 2: Convert to fraction form
    910.50/1,363.74 = 714.18/x
  3. Step 3: Cross multiply
    910.50x = 1,363.74 × 714.18
  4. Step 4: Simplify right side
    910.50x = 973,955.83
  5. Step 5: Solve for x
    x = 973,955.83/910.50
  6. Step 6: Final answer
    x = 1,069.69

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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.