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Finding the Fourth Proportional to 1,070.24, 1,477.35 and 697.53

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Solution

The fourth proportional to 1,070.24, 1,477.35 and 697.53 is: 962.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.24 : 1,477.35 = 697.53 : x
  2. Step 2: Convert to fraction form
    1,070.24/1,477.35 = 697.53/x
  3. Step 3: Cross multiply
    1,070.24x = 1,477.35 × 697.53
  4. Step 4: Simplify right side
    1,070.24x = 1,030,501.49
  5. Step 5: Solve for x
    x = 1,030,501.49/1,070.24
  6. Step 6: Final answer
    x = 962.87

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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.