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Finding the Fourth Proportional to 707.05, 1,056.10 and 597.70

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Solution

The fourth proportional to 707.05, 1,056.10 and 597.70 is: 892.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.05 : 1,056.10 = 597.70 : x
  2. Step 2: Convert to fraction form
    707.05/1,056.10 = 597.70/x
  3. Step 3: Cross multiply
    707.05x = 1,056.10 × 597.70
  4. Step 4: Simplify right side
    707.05x = 631,225.69
  5. Step 5: Solve for x
    x = 631,225.69/707.05
  6. Step 6: Final answer
    x = 892.77

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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.