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Finding the Fourth Proportional to 1,122.06, 1,547.71 and 885.93

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Solution

The fourth proportional to 1,122.06, 1,547.71 and 885.93 is: 1,222.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.06 : 1,547.71 = 885.93 : x
  2. Step 2: Convert to fraction form
    1,122.06/1,547.71 = 885.93/x
  3. Step 3: Cross multiply
    1,122.06x = 1,547.71 × 885.93
  4. Step 4: Simplify right side
    1,122.06x = 1,371,162.72
  5. Step 5: Solve for x
    x = 1,371,162.72/1,122.06
  6. Step 6: Final answer
    x = 1,222.00

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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.