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Finding the Fourth Proportional to 1,062.49, 1,594.68 and 569.30

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Solution

The fourth proportional to 1,062.49, 1,594.68 and 569.30 is: 854.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.49 : 1,594.68 = 569.30 : x
  2. Step 2: Convert to fraction form
    1,062.49/1,594.68 = 569.30/x
  3. Step 3: Cross multiply
    1,062.49x = 1,594.68 × 569.30
  4. Step 4: Simplify right side
    1,062.49x = 907,851.32
  5. Step 5: Solve for x
    x = 907,851.32/1,062.49
  6. Step 6: Final answer
    x = 854.46

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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.