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Finding the Fourth Proportional to 1,055.64, 1,582.17 and 747.58

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Solution

The fourth proportional to 1,055.64, 1,582.17 and 747.58 is: 1,120.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.64 : 1,582.17 = 747.58 : x
  2. Step 2: Convert to fraction form
    1,055.64/1,582.17 = 747.58/x
  3. Step 3: Cross multiply
    1,055.64x = 1,582.17 × 747.58
  4. Step 4: Simplify right side
    1,055.64x = 1,182,798.65
  5. Step 5: Solve for x
    x = 1,182,798.65/1,055.64
  6. Step 6: Final answer
    x = 1,120.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.