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Finding the Fourth Proportional to 1,756.19, 2,633.18 and 714.93

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Solution

The fourth proportional to 1,756.19, 2,633.18 and 714.93 is: 1,071.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.19 : 2,633.18 = 714.93 : x
  2. Step 2: Convert to fraction form
    1,756.19/2,633.18 = 714.93/x
  3. Step 3: Cross multiply
    1,756.19x = 2,633.18 × 714.93
  4. Step 4: Simplify right side
    1,756.19x = 1,882,541.16
  5. Step 5: Solve for x
    x = 1,882,541.16/1,756.19
  6. Step 6: Final answer
    x = 1,071.95

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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.