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Finding the Fourth Proportional to 1,320.76, 1,822.87 and 761.13

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Solution

The fourth proportional to 1,320.76, 1,822.87 and 761.13 is: 1,050.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.76 : 1,822.87 = 761.13 : x
  2. Step 2: Convert to fraction form
    1,320.76/1,822.87 = 761.13/x
  3. Step 3: Cross multiply
    1,320.76x = 1,822.87 × 761.13
  4. Step 4: Simplify right side
    1,320.76x = 1,387,435.16
  5. Step 5: Solve for x
    x = 1,387,435.16/1,320.76
  6. Step 6: Final answer
    x = 1,050.48

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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.