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Finding the Fourth Proportional to 1,089.86, 1,504.01 and 592.50

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Solution

The fourth proportional to 1,089.86, 1,504.01 and 592.50 is: 817.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.86 : 1,504.01 = 592.50 : x
  2. Step 2: Convert to fraction form
    1,089.86/1,504.01 = 592.50/x
  3. Step 3: Cross multiply
    1,089.86x = 1,504.01 × 592.50
  4. Step 4: Simplify right side
    1,089.86x = 891,120.74
  5. Step 5: Solve for x
    x = 891,120.74/1,089.86
  6. Step 6: Final answer
    x = 817.65

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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.