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Finding the Fourth Proportional to 707.76, 1,061.84 and 464.00

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Solution

The fourth proportional to 707.76, 1,061.84 and 464.00 is: 696.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.76 : 1,061.84 = 464.00 : x
  2. Step 2: Convert to fraction form
    707.76/1,061.84 = 464.00/x
  3. Step 3: Cross multiply
    707.76x = 1,061.84 × 464.00
  4. Step 4: Simplify right side
    707.76x = 492,689.61
  5. Step 5: Solve for x
    x = 492,689.61/707.76
  6. Step 6: Final answer
    x = 696.13

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Why These Related Problems?

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