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Finding the Fourth Proportional to 929.07, 1,282.06 and 509.35

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Solution

The fourth proportional to 929.07, 1,282.06 and 509.35 is: 702.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.07 : 1,282.06 = 509.35 : x
  2. Step 2: Convert to fraction form
    929.07/1,282.06 = 509.35/x
  3. Step 3: Cross multiply
    929.07x = 1,282.06 × 509.35
  4. Step 4: Simplify right side
    929.07x = 653,017.26
  5. Step 5: Solve for x
    x = 653,017.26/929.07
  6. Step 6: Final answer
    x = 702.87

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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.