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Finding the Fourth Proportional to 1,120.15, 1,545.94 and 747.00

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Solution

The fourth proportional to 1,120.15, 1,545.94 and 747.00 is: 1,030.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.15 : 1,545.94 = 747.00 : x
  2. Step 2: Convert to fraction form
    1,120.15/1,545.94 = 747.00/x
  3. Step 3: Cross multiply
    1,120.15x = 1,545.94 × 747.00
  4. Step 4: Simplify right side
    1,120.15x = 1,154,809.56
  5. Step 5: Solve for x
    x = 1,154,809.56/1,120.15
  6. Step 6: Final answer
    x = 1,030.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.