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Finding the Fourth Proportional to 1,030.40, 1,421.76 and 632.32

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Solution

The fourth proportional to 1,030.40, 1,421.76 and 632.32 is: 872.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.40 : 1,421.76 = 632.32 : x
  2. Step 2: Convert to fraction form
    1,030.40/1,421.76 = 632.32/x
  3. Step 3: Cross multiply
    1,030.40x = 1,421.76 × 632.32
  4. Step 4: Simplify right side
    1,030.40x = 899,007.28
  5. Step 5: Solve for x
    x = 899,007.28/1,030.40
  6. Step 6: Final answer
    x = 872.48

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1.5x scale

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.