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Finding the Fourth Proportional to 1,041.66, 1,437.95 and 648.95

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Solution

The fourth proportional to 1,041.66, 1,437.95 and 648.95 is: 895.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.66 : 1,437.95 = 648.95 : x
  2. Step 2: Convert to fraction form
    1,041.66/1,437.95 = 648.95/x
  3. Step 3: Cross multiply
    1,041.66x = 1,437.95 × 648.95
  4. Step 4: Simplify right side
    1,041.66x = 933,152.09
  5. Step 5: Solve for x
    x = 933,152.09/1,041.66
  6. Step 6: Final answer
    x = 895.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.