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Finding the Fourth Proportional to 977.60, 1,349.08 and 529.47

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Solution

The fourth proportional to 977.60, 1,349.08 and 529.47 is: 730.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.60 : 1,349.08 = 529.47 : x
  2. Step 2: Convert to fraction form
    977.60/1,349.08 = 529.47/x
  3. Step 3: Cross multiply
    977.60x = 1,349.08 × 529.47
  4. Step 4: Simplify right side
    977.60x = 714,302.84
  5. Step 5: Solve for x
    x = 714,302.84/977.60
  6. Step 6: Final answer
    x = 730.67

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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.