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Finding the Fourth Proportional to 594.47, 886.51 and 589.01

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Solution

The fourth proportional to 594.47, 886.51 and 589.01 is: 878.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.47 : 886.51 = 589.01 : x
  2. Step 2: Convert to fraction form
    594.47/886.51 = 589.01/x
  3. Step 3: Cross multiply
    594.47x = 886.51 × 589.01
  4. Step 4: Simplify right side
    594.47x = 522,159.56
  5. Step 5: Solve for x
    x = 522,159.56/594.47
  6. Step 6: Final answer
    x = 878.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.