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Finding the Fourth Proportional to 1,140.40, 1,709.88 and 592.75

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Solution

The fourth proportional to 1,140.40, 1,709.88 and 592.75 is: 888.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.40 : 1,709.88 = 592.75 : x
  2. Step 2: Convert to fraction form
    1,140.40/1,709.88 = 592.75/x
  3. Step 3: Cross multiply
    1,140.40x = 1,709.88 × 592.75
  4. Step 4: Simplify right side
    1,140.40x = 1,013,531.37
  5. Step 5: Solve for x
    x = 1,013,531.37/1,140.40
  6. Step 6: Final answer
    x = 888.75

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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.