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Finding the Fourth Proportional to 1,320.69, 1,822.38 and 761.18

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Solution

The fourth proportional to 1,320.69, 1,822.38 and 761.18 is: 1,050.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.69 : 1,822.38 = 761.18 : x
  2. Step 2: Convert to fraction form
    1,320.69/1,822.38 = 761.18/x
  3. Step 3: Cross multiply
    1,320.69x = 1,822.38 × 761.18
  4. Step 4: Simplify right side
    1,320.69x = 1,387,159.21
  5. Step 5: Solve for x
    x = 1,387,159.21/1,320.69
  6. Step 6: Final answer
    x = 1,050.33

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1.5x scale

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.