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Finding the Fourth Proportional to 1,303.56, 1,798.94 and 714.13

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Solution

The fourth proportional to 1,303.56, 1,798.94 and 714.13 is: 985.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.56 : 1,798.94 = 714.13 : x
  2. Step 2: Convert to fraction form
    1,303.56/1,798.94 = 714.13/x
  3. Step 3: Cross multiply
    1,303.56x = 1,798.94 × 714.13
  4. Step 4: Simplify right side
    1,303.56x = 1,284,677.02
  5. Step 5: Solve for x
    x = 1,284,677.02/1,303.56
  6. Step 6: Final answer
    x = 985.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.