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Finding the Fourth Proportional to 706.58, 1,053.56 and 705.20

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Solution

The fourth proportional to 706.58, 1,053.56 and 705.20 is: 1,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.58 : 1,053.56 = 705.20 : x
  2. Step 2: Convert to fraction form
    706.58/1,053.56 = 705.20/x
  3. Step 3: Cross multiply
    706.58x = 1,053.56 × 705.20
  4. Step 4: Simplify right side
    706.58x = 742,970.51
  5. Step 5: Solve for x
    x = 742,970.51/706.58
  6. Step 6: Final answer
    x = 1,051.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.