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Finding the Fourth Proportional to 760.72, 1,047.72 and 706.96

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Solution

The fourth proportional to 760.72, 1,047.72 and 706.96 is: 973.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.72 : 1,047.72 = 706.96 : x
  2. Step 2: Convert to fraction form
    760.72/1,047.72 = 706.96/x
  3. Step 3: Cross multiply
    760.72x = 1,047.72 × 706.96
  4. Step 4: Simplify right side
    760.72x = 740,696.13
  5. Step 5: Solve for x
    x = 740,696.13/760.72
  6. Step 6: Final answer
    x = 973.68

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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.