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Finding the Fourth Proportional to 1,054.95, 1,579.99 and 592.03

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Solution

The fourth proportional to 1,054.95, 1,579.99 and 592.03 is: 886.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.95 : 1,579.99 = 592.03 : x
  2. Step 2: Convert to fraction form
    1,054.95/1,579.99 = 592.03/x
  3. Step 3: Cross multiply
    1,054.95x = 1,579.99 × 592.03
  4. Step 4: Simplify right side
    1,054.95x = 935,401.48
  5. Step 5: Solve for x
    x = 935,401.48/1,054.95
  6. Step 6: Final answer
    x = 886.68

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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.