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Finding the Fourth Proportional to 1,385.88, 1,913.45 and 1,056.01

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Solution

The fourth proportional to 1,385.88, 1,913.45 and 1,056.01 is: 1,458.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.88 : 1,913.45 = 1,056.01 : x
  2. Step 2: Convert to fraction form
    1,385.88/1,913.45 = 1,056.01/x
  3. Step 3: Cross multiply
    1,385.88x = 1,913.45 × 1,056.01
  4. Step 4: Simplify right side
    1,385.88x = 2,020,622.33
  5. Step 5: Solve for x
    x = 2,020,622.33/1,385.88
  6. Step 6: Final answer
    x = 1,458.01

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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.