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Finding the Fourth Proportional to 1,235.19, 1,852.79 and 585.57

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Solution

The fourth proportional to 1,235.19, 1,852.79 and 585.57 is: 878.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.19 : 1,852.79 = 585.57 : x
  2. Step 2: Convert to fraction form
    1,235.19/1,852.79 = 585.57/x
  3. Step 3: Cross multiply
    1,235.19x = 1,852.79 × 585.57
  4. Step 4: Simplify right side
    1,235.19x = 1,084,935.31
  5. Step 5: Solve for x
    x = 1,084,935.31/1,235.19
  6. Step 6: Final answer
    x = 878.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.