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Finding the Fourth Proportional to 1,130.54, 1,559.66 and 710.60

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Solution

The fourth proportional to 1,130.54, 1,559.66 and 710.60 is: 980.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.54 : 1,559.66 = 710.60 : x
  2. Step 2: Convert to fraction form
    1,130.54/1,559.66 = 710.60/x
  3. Step 3: Cross multiply
    1,130.54x = 1,559.66 × 710.60
  4. Step 4: Simplify right side
    1,130.54x = 1,108,283.04
  5. Step 5: Solve for x
    x = 1,108,283.04/1,130.54
  6. Step 6: Final answer
    x = 980.32

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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.