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Finding the Fourth Proportional to 753.60, 1,036.80 and 710.40

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Solution

The fourth proportional to 753.60, 1,036.80 and 710.40 is: 977.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.60 : 1,036.80 = 710.40 : x
  2. Step 2: Convert to fraction form
    753.60/1,036.80 = 710.40/x
  3. Step 3: Cross multiply
    753.60x = 1,036.80 × 710.40
  4. Step 4: Simplify right side
    753.60x = 736,542.72
  5. Step 5: Solve for x
    x = 736,542.72/753.60
  6. Step 6: Final answer
    x = 977.37

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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.