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Finding the Fourth Proportional to 802.26, 1,106.60 and 507.60

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Solution

The fourth proportional to 802.26, 1,106.60 and 507.60 is: 700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.26 : 1,106.60 = 507.60 : x
  2. Step 2: Convert to fraction form
    802.26/1,106.60 = 507.60/x
  3. Step 3: Cross multiply
    802.26x = 1,106.60 × 507.60
  4. Step 4: Simplify right side
    802.26x = 561,710.16
  5. Step 5: Solve for x
    x = 561,710.16/802.26
  6. Step 6: Final answer
    x = 700.16

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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.