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Finding the Fourth Proportional to 707.04, 973.74 and 569.74

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Solution

The fourth proportional to 707.04, 973.74 and 569.74 is: 784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.04 : 973.74 = 569.74 : x
  2. Step 2: Convert to fraction form
    707.04/973.74 = 569.74/x
  3. Step 3: Cross multiply
    707.04x = 973.74 × 569.74
  4. Step 4: Simplify right side
    707.04x = 554,778.63
  5. Step 5: Solve for x
    x = 554,778.63/707.04
  6. Step 6: Final answer
    x = 784.65

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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.