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Finding the Fourth Proportional to 746.10, 1,030.71 and 589.77

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Solution

The fourth proportional to 746.10, 1,030.71 and 589.77 is: 814.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.10 : 1,030.71 = 589.77 : x
  2. Step 2: Convert to fraction form
    746.10/1,030.71 = 589.77/x
  3. Step 3: Cross multiply
    746.10x = 1,030.71 × 589.77
  4. Step 4: Simplify right side
    746.10x = 607,881.84
  5. Step 5: Solve for x
    x = 607,881.84/746.10
  6. Step 6: Final answer
    x = 814.75

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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.