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Finding the Fourth Proportional to 758.02, 1,045.99 and 509.29

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Solution

The fourth proportional to 758.02, 1,045.99 and 509.29 is: 702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.02 : 1,045.99 = 509.29 : x
  2. Step 2: Convert to fraction form
    758.02/1,045.99 = 509.29/x
  3. Step 3: Cross multiply
    758.02x = 1,045.99 × 509.29
  4. Step 4: Simplify right side
    758.02x = 532,712.25
  5. Step 5: Solve for x
    x = 532,712.25/758.02
  6. Step 6: Final answer
    x = 702.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.