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Finding the Fourth Proportional to 1,353.16, 1,866.93 and 821.87

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Solution

The fourth proportional to 1,353.16, 1,866.93 and 821.87 is: 1,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.16 : 1,866.93 = 821.87 : x
  2. Step 2: Convert to fraction form
    1,353.16/1,866.93 = 821.87/x
  3. Step 3: Cross multiply
    1,353.16x = 1,866.93 × 821.87
  4. Step 4: Simplify right side
    1,353.16x = 1,534,373.76
  5. Step 5: Solve for x
    x = 1,534,373.76/1,353.16
  6. Step 6: Final answer
    x = 1,133.92

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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.