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Finding the Fourth Proportional to 802.92, 1,106.58 and 592.64

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Solution

The fourth proportional to 802.92, 1,106.58 and 592.64 is: 816.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.92 : 1,106.58 = 592.64 : x
  2. Step 2: Convert to fraction form
    802.92/1,106.58 = 592.64/x
  3. Step 3: Cross multiply
    802.92x = 1,106.58 × 592.64
  4. Step 4: Simplify right side
    802.92x = 655,803.57
  5. Step 5: Solve for x
    x = 655,803.57/802.92
  6. Step 6: Final answer
    x = 816.77

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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.