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Finding the Fourth Proportional to 1,360.69, 1,875.12 and 917.83

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Solution

The fourth proportional to 1,360.69, 1,875.12 and 917.83 is: 1,264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.69 : 1,875.12 = 917.83 : x
  2. Step 2: Convert to fraction form
    1,360.69/1,875.12 = 917.83/x
  3. Step 3: Cross multiply
    1,360.69x = 1,875.12 × 917.83
  4. Step 4: Simplify right side
    1,360.69x = 1,721,036.63
  5. Step 5: Solve for x
    x = 1,721,036.63/1,360.69
  6. Step 6: Final answer
    x = 1,264.82

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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.