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Finding the Fourth Proportional to 1,178.21, 1,767.63 and 592.50

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Solution

The fourth proportional to 1,178.21, 1,767.63 and 592.50 is: 888.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.21 : 1,767.63 = 592.50 : x
  2. Step 2: Convert to fraction form
    1,178.21/1,767.63 = 592.50/x
  3. Step 3: Cross multiply
    1,178.21x = 1,767.63 × 592.50
  4. Step 4: Simplify right side
    1,178.21x = 1,047,320.78
  5. Step 5: Solve for x
    x = 1,047,320.78/1,178.21
  6. Step 6: Final answer
    x = 888.91

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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.