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Finding the Fourth Proportional to 1,014.96, 1,400.62 and 572.95

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Solution

The fourth proportional to 1,014.96, 1,400.62 and 572.95 is: 790.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.96 : 1,400.62 = 572.95 : x
  2. Step 2: Convert to fraction form
    1,014.96/1,400.62 = 572.95/x
  3. Step 3: Cross multiply
    1,014.96x = 1,400.62 × 572.95
  4. Step 4: Simplify right side
    1,014.96x = 802,485.23
  5. Step 5: Solve for x
    x = 802,485.23/1,014.96
  6. Step 6: Final answer
    x = 790.66

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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.