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Finding the Fourth Proportional to 1,113.33, 1,678.45 and 1,053.80

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Solution

The fourth proportional to 1,113.33, 1,678.45 and 1,053.80 is: 1,588.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.33 : 1,678.45 = 1,053.80 : x
  2. Step 2: Convert to fraction form
    1,113.33/1,678.45 = 1,053.80/x
  3. Step 3: Cross multiply
    1,113.33x = 1,678.45 × 1,053.80
  4. Step 4: Simplify right side
    1,113.33x = 1,768,742.22
  5. Step 5: Solve for x
    x = 1,768,742.22/1,113.33
  6. Step 6: Final answer
    x = 1,588.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.