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Finding the Fourth Proportional to 1,061.91, 1,461.78 and 875.07

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Solution

The fourth proportional to 1,061.91, 1,461.78 and 875.07 is: 1,204.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.91 : 1,461.78 = 875.07 : x
  2. Step 2: Convert to fraction form
    1,061.91/1,461.78 = 875.07/x
  3. Step 3: Cross multiply
    1,061.91x = 1,461.78 × 875.07
  4. Step 4: Simplify right side
    1,061.91x = 1,279,159.82
  5. Step 5: Solve for x
    x = 1,279,159.82/1,061.91
  6. Step 6: Final answer
    x = 1,204.58

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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.