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Finding the Fourth Proportional to 1,320.83, 1,822.75 and 731.35

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Solution

The fourth proportional to 1,320.83, 1,822.75 and 731.35 is: 1,009.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.83 : 1,822.75 = 731.35 : x
  2. Step 2: Convert to fraction form
    1,320.83/1,822.75 = 731.35/x
  3. Step 3: Cross multiply
    1,320.83x = 1,822.75 × 731.35
  4. Step 4: Simplify right side
    1,320.83x = 1,333,068.21
  5. Step 5: Solve for x
    x = 1,333,068.21/1,320.83
  6. Step 6: Final answer
    x = 1,009.27

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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.