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Finding the Fourth Proportional to 1,577.64, 2,365.34 and 602.92

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Solution

The fourth proportional to 1,577.64, 2,365.34 and 602.92 is: 903.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.64 : 2,365.34 = 602.92 : x
  2. Step 2: Convert to fraction form
    1,577.64/2,365.34 = 602.92/x
  3. Step 3: Cross multiply
    1,577.64x = 2,365.34 × 602.92
  4. Step 4: Simplify right side
    1,577.64x = 1,426,110.79
  5. Step 5: Solve for x
    x = 1,426,110.79/1,577.64
  6. Step 6: Final answer
    x = 903.95

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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.