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Finding the Fourth Proportional to 746.84, 1,030.73 and 569.50

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Solution

The fourth proportional to 746.84, 1,030.73 and 569.50 is: 785.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.84 : 1,030.73 = 569.50 : x
  2. Step 2: Convert to fraction form
    746.84/1,030.73 = 569.50/x
  3. Step 3: Cross multiply
    746.84x = 1,030.73 × 569.50
  4. Step 4: Simplify right side
    746.84x = 586,995.31
  5. Step 5: Solve for x
    x = 586,995.31/746.84
  6. Step 6: Final answer
    x = 785.97

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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.