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Finding the Fourth Proportional to 707.54, 977.28 and 510.71

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Solution

The fourth proportional to 707.54, 977.28 and 510.71 is: 705.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.54 : 977.28 = 510.71 : x
  2. Step 2: Convert to fraction form
    707.54/977.28 = 510.71/x
  3. Step 3: Cross multiply
    707.54x = 977.28 × 510.71
  4. Step 4: Simplify right side
    707.54x = 499,106.67
  5. Step 5: Solve for x
    x = 499,106.67/707.54
  6. Step 6: Final answer
    x = 705.41

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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.