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Finding the Fourth Proportional to 1,147.30, 1,580.35 and 970.06

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Solution

The fourth proportional to 1,147.30, 1,580.35 and 970.06 is: 1,336.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.30 : 1,580.35 = 970.06 : x
  2. Step 2: Convert to fraction form
    1,147.30/1,580.35 = 970.06/x
  3. Step 3: Cross multiply
    1,147.30x = 1,580.35 × 970.06
  4. Step 4: Simplify right side
    1,147.30x = 1,533,034.32
  5. Step 5: Solve for x
    x = 1,533,034.32/1,147.30
  6. Step 6: Final answer
    x = 1,336.21

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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.