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Finding the Fourth Proportional to 978.55, 1,350.98 and 647.26

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Solution

The fourth proportional to 978.55, 1,350.98 and 647.26 is: 893.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.55 : 1,350.98 = 647.26 : x
  2. Step 2: Convert to fraction form
    978.55/1,350.98 = 647.26/x
  3. Step 3: Cross multiply
    978.55x = 1,350.98 × 647.26
  4. Step 4: Simplify right side
    978.55x = 874,431.13
  5. Step 5: Solve for x
    x = 874,431.13/978.55
  6. Step 6: Final answer
    x = 893.60

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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.