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Finding the Fourth Proportional to 700.83, 1,051.91 and 534.74

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Solution

The fourth proportional to 700.83, 1,051.91 and 534.74 is: 802.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.83 : 1,051.91 = 534.74 : x
  2. Step 2: Convert to fraction form
    700.83/1,051.91 = 534.74/x
  3. Step 3: Cross multiply
    700.83x = 1,051.91 × 534.74
  4. Step 4: Simplify right side
    700.83x = 562,490.42
  5. Step 5: Solve for x
    x = 562,490.42/700.83
  6. Step 6: Final answer
    x = 802.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.