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Finding the Fourth Proportional to 802.34, 1,106.78 and 507.50

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Solution

The fourth proportional to 802.34, 1,106.78 and 507.50 is: 700.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.34 : 1,106.78 = 507.50 : x
  2. Step 2: Convert to fraction form
    802.34/1,106.78 = 507.50/x
  3. Step 3: Cross multiply
    802.34x = 1,106.78 × 507.50
  4. Step 4: Simplify right side
    802.34x = 561,690.85
  5. Step 5: Solve for x
    x = 561,690.85/802.34
  6. Step 6: Final answer
    x = 700.07

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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.