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Finding the Fourth Proportional to 730.16, 1,008.64 and 509

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Solution

The fourth proportional to 730.16, 1,008.64 and 509 is: 703.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.16 : 1,008.64 = 509 : x
  2. Step 2: Convert to fraction form
    730.16/1,008.64 = 509/x
  3. Step 3: Cross multiply
    730.16x = 1,008.64 × 509
  4. Step 4: Simplify right side
    730.16x = 513,397.76
  5. Step 5: Solve for x
    x = 513,397.76/730.16
  6. Step 6: Final answer
    x = 703.13

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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.