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Finding the Fourth Proportional to 1,512.64, 2,267.33 and 587.93

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Solution

The fourth proportional to 1,512.64, 2,267.33 and 587.93 is: 881.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.64 : 2,267.33 = 587.93 : x
  2. Step 2: Convert to fraction form
    1,512.64/2,267.33 = 587.93/x
  3. Step 3: Cross multiply
    1,512.64x = 2,267.33 × 587.93
  4. Step 4: Simplify right side
    1,512.64x = 1,333,017.05
  5. Step 5: Solve for x
    x = 1,333,017.05/1,512.64
  6. Step 6: Final answer
    x = 881.25

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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.