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Finding the Fourth Proportional to 707.61, 975.76 and 497.72

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Solution

The fourth proportional to 707.61, 975.76 and 497.72 is: 686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.61 : 975.76 = 497.72 : x
  2. Step 2: Convert to fraction form
    707.61/975.76 = 497.72/x
  3. Step 3: Cross multiply
    707.61x = 975.76 × 497.72
  4. Step 4: Simplify right side
    707.61x = 485,649.14
  5. Step 5: Solve for x
    x = 485,649.14/707.61
  6. Step 6: Final answer
    x = 686.32

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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.