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Finding the Fourth Proportional to 955.76, 1,430.76 and 544.16

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Solution

The fourth proportional to 955.76, 1,430.76 and 544.16 is: 814.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.76 : 1,430.76 = 544.16 : x
  2. Step 2: Convert to fraction form
    955.76/1,430.76 = 544.16/x
  3. Step 3: Cross multiply
    955.76x = 1,430.76 × 544.16
  4. Step 4: Simplify right side
    955.76x = 778,562.36
  5. Step 5: Solve for x
    x = 778,562.36/955.76
  6. Step 6: Final answer
    x = 814.60

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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.