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Finding the Fourth Proportional to 1,026.95, 1,539.87 and 368.57

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Solution

The fourth proportional to 1,026.95, 1,539.87 and 368.57 is: 552.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.95 : 1,539.87 = 368.57 : x
  2. Step 2: Convert to fraction form
    1,026.95/1,539.87 = 368.57/x
  3. Step 3: Cross multiply
    1,026.95x = 1,539.87 × 368.57
  4. Step 4: Simplify right side
    1,026.95x = 567,549.89
  5. Step 5: Solve for x
    x = 567,549.89/1,026.95
  6. Step 6: Final answer
    x = 552.66

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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.