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Finding the Fourth Proportional to 710.61, 1,065.63 and 340.35

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Solution

The fourth proportional to 710.61, 1,065.63 and 340.35 is: 510.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.61 : 1,065.63 = 340.35 : x
  2. Step 2: Convert to fraction form
    710.61/1,065.63 = 340.35/x
  3. Step 3: Cross multiply
    710.61x = 1,065.63 × 340.35
  4. Step 4: Simplify right side
    710.61x = 362,687.17
  5. Step 5: Solve for x
    x = 362,687.17/710.61
  6. Step 6: Final answer
    x = 510.39

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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.