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Finding the Fourth Proportional to 1,147.04, 1,582.80 and 705.04

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Solution

The fourth proportional to 1,147.04, 1,582.80 and 705.04 is: 972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.04 : 1,582.80 = 705.04 : x
  2. Step 2: Convert to fraction form
    1,147.04/1,582.80 = 705.04/x
  3. Step 3: Cross multiply
    1,147.04x = 1,582.80 × 705.04
  4. Step 4: Simplify right side
    1,147.04x = 1,115,937.31
  5. Step 5: Solve for x
    x = 1,115,937.31/1,147.04
  6. Step 6: Final answer
    x = 972.88

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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.