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Finding the Fourth Proportional to 759.25, 1,047.35 and 510.13

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Solution

The fourth proportional to 759.25, 1,047.35 and 510.13 is: 703.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.25 : 1,047.35 = 510.13 : x
  2. Step 2: Convert to fraction form
    759.25/1,047.35 = 510.13/x
  3. Step 3: Cross multiply
    759.25x = 1,047.35 × 510.13
  4. Step 4: Simplify right side
    759.25x = 534,282.10
  5. Step 5: Solve for x
    x = 534,282.10/759.25
  6. Step 6: Final answer
    x = 703.70

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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.