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Finding the Fourth Proportional to 758.16, 1,046.63 and 509.66

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Solution

The fourth proportional to 758.16, 1,046.63 and 509.66 is: 703.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.16 : 1,046.63 = 509.66 : x
  2. Step 2: Convert to fraction form
    758.16/1,046.63 = 509.66/x
  3. Step 3: Cross multiply
    758.16x = 1,046.63 × 509.66
  4. Step 4: Simplify right side
    758.16x = 533,425.45
  5. Step 5: Solve for x
    x = 533,425.45/758.16
  6. Step 6: Final answer
    x = 703.58

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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.