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Finding the Fourth Proportional to 802.65, 1,107.71 and 507.90

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Solution

The fourth proportional to 802.65, 1,107.71 and 507.90 is: 700.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.65 : 1,107.71 = 507.90 : x
  2. Step 2: Convert to fraction form
    802.65/1,107.71 = 507.90/x
  3. Step 3: Cross multiply
    802.65x = 1,107.71 × 507.90
  4. Step 4: Simplify right side
    802.65x = 562,605.91
  5. Step 5: Solve for x
    x = 562,605.91/802.65
  6. Step 6: Final answer
    x = 700.94

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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.