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Finding the Fourth Proportional to 1,542.96, 2,315.36 and 569.76

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Solution

The fourth proportional to 1,542.96, 2,315.36 and 569.76 is: 854.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.96 : 2,315.36 = 569.76 : x
  2. Step 2: Convert to fraction form
    1,542.96/2,315.36 = 569.76/x
  3. Step 3: Cross multiply
    1,542.96x = 2,315.36 × 569.76
  4. Step 4: Simplify right side
    1,542.96x = 1,319,199.51
  5. Step 5: Solve for x
    x = 1,319,199.51/1,542.96
  6. Step 6: Final answer
    x = 854.98

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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.