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Finding the Fourth Proportional to 1,145.55, 1,578.51 and 947.10

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Solution

The fourth proportional to 1,145.55, 1,578.51 and 947.10 is: 1,305.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.55 : 1,578.51 = 947.10 : x
  2. Step 2: Convert to fraction form
    1,145.55/1,578.51 = 947.10/x
  3. Step 3: Cross multiply
    1,145.55x = 1,578.51 × 947.10
  4. Step 4: Simplify right side
    1,145.55x = 1,495,006.82
  5. Step 5: Solve for x
    x = 1,495,006.82/1,145.55
  6. Step 6: Final answer
    x = 1,305.06

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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.