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Finding the Fourth Proportional to 718.90, 1,075.71 and 588.58

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Solution

The fourth proportional to 718.90, 1,075.71 and 588.58 is: 880.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.90 : 1,075.71 = 588.58 : x
  2. Step 2: Convert to fraction form
    718.90/1,075.71 = 588.58/x
  3. Step 3: Cross multiply
    718.90x = 1,075.71 × 588.58
  4. Step 4: Simplify right side
    718.90x = 633,141.39
  5. Step 5: Solve for x
    x = 633,141.39/718.90
  6. Step 6: Final answer
    x = 880.71

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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.