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Finding the Fourth Proportional to 705.60, 975.06 and 530.64

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Solution

The fourth proportional to 705.60, 975.06 and 530.64 is: 733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.60 : 975.06 = 530.64 : x
  2. Step 2: Convert to fraction form
    705.60/975.06 = 530.64/x
  3. Step 3: Cross multiply
    705.60x = 975.06 × 530.64
  4. Step 4: Simplify right side
    705.60x = 517,405.84
  5. Step 5: Solve for x
    x = 517,405.84/705.60
  6. Step 6: Final answer
    x = 733.28

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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.