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Finding the Fourth Proportional to 802.52, 1,106.86 and 554.25

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Solution

The fourth proportional to 802.52, 1,106.86 and 554.25 is: 764.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.52 : 1,106.86 = 554.25 : x
  2. Step 2: Convert to fraction form
    802.52/1,106.86 = 554.25/x
  3. Step 3: Cross multiply
    802.52x = 1,106.86 × 554.25
  4. Step 4: Simplify right side
    802.52x = 613,477.16
  5. Step 5: Solve for x
    x = 613,477.16/802.52
  6. Step 6: Final answer
    x = 764.44

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1.5x scale

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.