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Finding the Fourth Proportional to 1,176.90, 1,763.40 and 714.83

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Solution

The fourth proportional to 1,176.90, 1,763.40 and 714.83 is: 1,071.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.90 : 1,763.40 = 714.83 : x
  2. Step 2: Convert to fraction form
    1,176.90/1,763.40 = 714.83/x
  3. Step 3: Cross multiply
    1,176.90x = 1,763.40 × 714.83
  4. Step 4: Simplify right side
    1,176.90x = 1,260,522.41
  5. Step 5: Solve for x
    x = 1,260,522.41/1,176.90
  6. Step 6: Final answer
    x = 1,071.05

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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.