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Finding the Fourth Proportional to 1,117.48, 1,541.64 and 786.13

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Solution

The fourth proportional to 1,117.48, 1,541.64 and 786.13 is: 1,084.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.48 : 1,541.64 = 786.13 : x
  2. Step 2: Convert to fraction form
    1,117.48/1,541.64 = 786.13/x
  3. Step 3: Cross multiply
    1,117.48x = 1,541.64 × 786.13
  4. Step 4: Simplify right side
    1,117.48x = 1,211,929.45
  5. Step 5: Solve for x
    x = 1,211,929.45/1,117.48
  6. Step 6: Final answer
    x = 1,084.52

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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.