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Finding the Fourth Proportional to 1,130.80, 1,693.56 and 978.40

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Solution

The fourth proportional to 1,130.80, 1,693.56 and 978.40 is: 1,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.80 : 1,693.56 = 978.40 : x
  2. Step 2: Convert to fraction form
    1,130.80/1,693.56 = 978.40/x
  3. Step 3: Cross multiply
    1,130.80x = 1,693.56 × 978.40
  4. Step 4: Simplify right side
    1,130.80x = 1,656,979.10
  5. Step 5: Solve for x
    x = 1,656,979.10/1,130.80
  6. Step 6: Final answer
    x = 1,465.32

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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.