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Finding the Fourth Proportional to 1,269.84, 1,752.33 and 710.22

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Solution

The fourth proportional to 1,269.84, 1,752.33 and 710.22 is: 980.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.84 : 1,752.33 = 710.22 : x
  2. Step 2: Convert to fraction form
    1,269.84/1,752.33 = 710.22/x
  3. Step 3: Cross multiply
    1,269.84x = 1,752.33 × 710.22
  4. Step 4: Simplify right side
    1,269.84x = 1,244,539.81
  5. Step 5: Solve for x
    x = 1,244,539.81/1,269.84
  6. Step 6: Final answer
    x = 980.08

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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.